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BEGIN:VEVENT
SUMMARY:A uniqueness theorem for the Kerr metric
DTSTART;VALUE=DATE-TIME:20080416T120000Z
DTEND;VALUE=DATE-TIME:20080416T130000Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4334@indico.nbi.ku.dk
DESCRIPTION:Speakers: Piotr Chrusciel ()\nhttps://indico.nbi.ku.dk/event/7
/contributions/4334/
LOCATION:Niels Bohr International Academy Aud. A
URL:https://indico.nbi.ku.dk/event/7/contributions/4334/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The interface between mathematics and astrophysics in the study of
cosmic acceleration.
DTSTART;VALUE=DATE-TIME:20080407T091500Z
DTEND;VALUE=DATE-TIME:20080407T101500Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4333@indico.nbi.ku.dk
DESCRIPTION:Speakers: Alan Rendall (AEI Golm)\nFor about the last ten year
s cosmic acceleration has been a subject of\nwide interest in cosmology. B
y now there are a number of interesting\nmathematical results in this area
. A closer examination reveals that\nwhile the mathematical theorems are o
ften of greater generality than\nwhat is considered in the astrophysical l
iterature there are topics of\nastrophysical interest which fail to be add
ressed at all by the\nmathematical developments up to now. This talk will
discuss\npossibilities of improving the interface between the two subjects
in\nthis context\, concentrating on the case of the massive scalar field
as\na source for the Einstein equations. Other aspects of the question\nwi
ll be illuminated by consideration of a modification of the Einstein\nequa
tions given by Cardassian models\, following work of Nikolaus\nBerndt.\n\n
https://indico.nbi.ku.dk/event/7/contributions/4333/
LOCATION:Niels Bohr International Academy Aud. A
URL:https://indico.nbi.ku.dk/event/7/contributions/4333/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Asymptotic Stability of the five-dimensional Schwarzschild metric
under biaxial perturbations
DTSTART;VALUE=DATE-TIME:20080409T131500Z
DTEND;VALUE=DATE-TIME:20080409T141500Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4332@indico.nbi.ku.dk
DESCRIPTION:Speakers: Gustav Holzegel (Cambridge)\nhttps://indico.nbi.ku.d
k/event/7/contributions/4332/
LOCATION:Niels Bohr International Academy Aud. A
URL:https://indico.nbi.ku.dk/event/7/contributions/4332/
END:VEVENT
BEGIN:VEVENT
SUMMARY:An Introduction to the Geometry of Black Holes
DTSTART;VALUE=DATE-TIME:20080407T121500Z
DTEND;VALUE=DATE-TIME:20080407T131500Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4331@indico.nbi.ku.dk
DESCRIPTION:Speakers: Hubert Bray (Duke)\nIn this lecture we will study th
e Schwarzschild spacetime\, which represents a\nnonrotating black hole in
vacuum\, from a variety of perspectives. After\nconsidering the more intu
itive coordinate chart representations of\nSchwarzschild\, we will then fo
cus on Kruskal coordinates which is a global\ncoordinate chart on the whol
e spacetime. From this introductory material\, we\nwill then transistion
into a discussion about what the correct\, or most\ngeometric\, statement
of the Penrose Conjecture for black holes should be.\nTime permiting\, we'
ll prove the Penrose Conjecture in a very special case\,\ndiscuss white ho
les as compared to black holes\, and define a new notion of\nhorizon\, cal
led a generalized apparent horizon\, which may be an important\nnotion use
ful for proving the Penrose Conjecture.\n\nhttps://indico.nbi.ku.dk/event/
7/contributions/4331/
LOCATION:Niels Bohr International Academy Aud. A
URL:https://indico.nbi.ku.dk/event/7/contributions/4331/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Quantum Field Theory in Curved Spacetime
DTSTART;VALUE=DATE-TIME:20080408T131500Z
DTEND;VALUE=DATE-TIME:20080408T141500Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4330@indico.nbi.ku.dk
DESCRIPTION:Speakers: Robert Wald (Chicago)\nhttps://indico.nbi.ku.dk/even
t/7/contributions/4330/
LOCATION:Mathematics Colloquium Mathematics Colloquium HC Ørsted Institu
te Aud 8
URL:https://indico.nbi.ku.dk/event/7/contributions/4330/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Negative Point Mass Singularities (NPMS)
DTSTART;VALUE=DATE-TIME:20080411T142000Z
DTEND;VALUE=DATE-TIME:20080411T150500Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4329@indico.nbi.ku.dk
DESCRIPTION:Speakers: Hubert Bray (Duke)\nIn this talk we will discuss a g
eometric inequality which is in the same\nspirit as the Positive Mass Theo
rem and the Penrose Inequality for black\nholes. Whereas the cases of equ
ality of these first two theorems are\nrespectively Minkowski space (which
can be thought of as Schwarzschild with\nzero mass) and the Schwarzschild
spacetime with positive mass\, the case of\nequality for the inequality w
e will discuss is the Schwarzschild spacetime\nwith negative mass.\n\nPhys
ically speaking\, when positive amounts of energy are concentrated as much
\nas possible\, black holes results. However\, when negative amounts of e
nergy\nare "concentrated" as much as possible\, it is in fact possible to
form point\nsingularities in each spacelike slice (which form a timelike c
urve of\nsingularities in the spacetime).\n\nAs usual we will focus on max
imal\, spacelike slices of spacetimes as a first\nstep. The assumption of
nonnegative energy density on these slices implies\nthat these Riemannian
3-manifolds have nonnegative scalar curvature. However\,\nwe will allow
these 3-manifolds to have singularities which contribute\nnegatively to th
e total mass. The standard example is the negative\nSchwarzschild metric
on R^3 minus a ball of radius m/2\, (1 - m/2r)^4\n\\delta_{ij}. This metr
ic (which has total mass -m) has zero scalar curvature\neverywhere but has
a singularity at r = m/2. We will propose a definition for\nthe mass of
a singularity\, and prove a sharp lower bound on the ADM mass in\nterms of
the masses of the singularities in the 3-manifold\, modulo an\ninterestin
g geometric conjecture.\n\nhttps://indico.nbi.ku.dk/event/7/contributions/
4329/
LOCATION:Niels Bohr International Academy Aud. A
URL:https://indico.nbi.ku.dk/event/7/contributions/4329/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Future stability of the Einstein-non-linear scalar field system\,
power law expansion
DTSTART;VALUE=DATE-TIME:20080414T120000Z
DTEND;VALUE=DATE-TIME:20080414T130000Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4328@indico.nbi.ku.dk
DESCRIPTION:Speakers: Hans Ringstrom (Stockholm (KTH))\nIn the case of Ein
stein's equations coupled to a non-linear\nscalar field with a suitable ex
ponential potential\, there are\nsolutions for which the expansion is acce
lerated and of power law\ntype. In the talk I will discuss the future glob
al non-linear\nstability of such models. The results generalize those of M
ark Heinzle\nand Alan Rendall obtained using different methods.\n\nhttps:/
/indico.nbi.ku.dk/event/7/contributions/4328/
LOCATION:Niels Bohr International Academy Aud. A
URL:https://indico.nbi.ku.dk/event/7/contributions/4328/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Inverse scattering in gravity
DTSTART;VALUE=DATE-TIME:20080412T102500Z
DTEND;VALUE=DATE-TIME:20080412T111000Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4327@indico.nbi.ku.dk
DESCRIPTION:Speakers: Henriette Elvang (MIT)\nhttps://indico.nbi.ku.dk/eve
nt/7/contributions/4327/
LOCATION:Niels Bohr International Academy Aud. A
URL:https://indico.nbi.ku.dk/event/7/contributions/4327/
END:VEVENT
BEGIN:VEVENT
SUMMARY:When can one extend the conformal metric through a space-time sing
ularity?
DTSTART;VALUE=DATE-TIME:20080409T120000Z
DTEND;VALUE=DATE-TIME:20080409T130000Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4326@indico.nbi.ku.dk
DESCRIPTION:Speakers: Poul Tod (Oxford)\nOne knows\, for example by provin
g well-posedness for an initial value problem with \ndata at the singulari
ty\, that there exist many cosmological solutions of the \nEinstein equati
ons with an initial curvature singularity but for which the \nconformal me
tric can be extended through the singularity. Here we consider a \nconvers
e\, a local extension problem for the conformal structure: given an \ninco
mplete causal curve terminating at a curvature singularity\, when can one
\nextend the conformal structure to a set containing a neighbourhood of a
final \nsegment of the curve? We obtain necessary and sufficient condition
s based on \nboundedness of tractor curvature components. (Based on work w
ith Christian Luebbe: \narXiv:0710.5552\, arXiv:0710.5723.)\n\nhttps://ind
ico.nbi.ku.dk/event/7/contributions/4326/
LOCATION:Niels Bohr International Academy Aud. A
URL:https://indico.nbi.ku.dk/event/7/contributions/4326/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Classical Effective Field Theory and Non-Relativistic Gravitation
DTSTART;VALUE=DATE-TIME:20080412T082000Z
DTEND;VALUE=DATE-TIME:20080412T090500Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4325@indico.nbi.ku.dk
DESCRIPTION:Speakers: Barak Kol (Jerusalem)\nI shall discuss an improvemen
t to the (Classical) Effective\nField Theory approach to the non-relativis
tic or Post-Newtonian\napproximation of General Relativity. The "potential
metric field" is\ndecomposed through a temporal Kaluza-Klein ansatz into
three\nNRG-fields: a scalar identified with the Newtonian potential\, a\n3
-vector corresponding to the gravito-magnetic vector potential and a\n3-te
nsor. The derivation of the Einstein-Infeld-Hoffmann Lagrangian\nsimplifie
s such that each term corresponds to a single Feynman diagram\nproviding a
clear physical interpretation. Spin interactions are\nassociated with the
gravito-magnetic field. Leading correction\ndiagrams corresponding to th
e 3PN correction to the spin-spin\ninteraction and the 2.5PN correction to
the spin-orbit interaction\nwill be presented.\n\nhttps://indico.nbi.ku.d
k/event/7/contributions/4325/
LOCATION:Niels Bohr International Academy Aud. A
URL:https://indico.nbi.ku.dk/event/7/contributions/4325/
END:VEVENT
BEGIN:VEVENT
SUMMARY:U(1) symmetric gravitationnal collapse in Iwasawa variable
DTSTART;VALUE=DATE-TIME:20080411T073000Z
DTEND;VALUE=DATE-TIME:20080411T081500Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4324@indico.nbi.ku.dk
DESCRIPTION:Speakers: Yvonne Choquet-Bruhat (Paris Jussieu)\nhttps://indic
o.nbi.ku.dk/event/7/contributions/4324/
LOCATION:Niels Bohr International Academy Aud. A
URL:https://indico.nbi.ku.dk/event/7/contributions/4324/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rod-structure of stationary and axisymmetric solutions in General
Relativity
DTSTART;VALUE=DATE-TIME:20080411T130500Z
DTEND;VALUE=DATE-TIME:20080411T135000Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4323@indico.nbi.ku.dk
DESCRIPTION:Speakers: Troels Harmark (Niels Bohr Institute)\nWe consider s
tationary and axisymmetric solutions in General\nRelativity\, primarily in
five dimensions. We motivative the\nintroduction of the Rod-structure for
any given solution and give\nexamples of Rod-structures for various five-
dimensional exact\nsolutions of General Relativity. We consider the questi
ons of\nuniqueness and existence of a solution given the Rod-structure.\nF
inally we review briefly the uniqueness theorem of Hollands and\nYazadjiev
which proves that five-dimensional stationary and\naxisymmetric solutions
are unique given the Rod-structure\, and the\nasymptotic charges.\n\nhttp
s://indico.nbi.ku.dk/event/7/contributions/4323/
LOCATION:Niels Bohr International Academy Aud. A
URL:https://indico.nbi.ku.dk/event/7/contributions/4323/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The trapped region
DTSTART;VALUE=DATE-TIME:20080415T090000Z
DTEND;VALUE=DATE-TIME:20080415T100000Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4322@indico.nbi.ku.dk
DESCRIPTION:Speakers: Lars Andersson (AEI Golm)\nI will discuss recent res
ults on existence and regularity of\nmarginal surfaces\, blowup of Jang's
equation\, and regularity of the trapped\nregion. This is joint work with
Jan Metzger.\n\nhttps://indico.nbi.ku.dk/event/7/contributions/4322/
LOCATION:Niels Bohr International Academy Aud. A
URL:https://indico.nbi.ku.dk/event/7/contributions/4322/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rigidly Rotating Bodies in General Relativity
DTSTART;VALUE=DATE-TIME:20080417T090000Z
DTEND;VALUE=DATE-TIME:20080417T100000Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4321@indico.nbi.ku.dk
DESCRIPTION:Speakers: Robert Beig (Vienna)\nThe only rigorous result known
so far on the existence of isolated bodies\nin GR in rigid rotation are t
he ones by Heilig of 1995 on perfect fluids. We outline a method to solve
the\nstationary Einstein equations with source a body in rigid rotation co
nsisting of elastic matter.\nThis is work in progress by R.B.\, B.G.Schmid
t\, and L.Andersson.\n\nhttps://indico.nbi.ku.dk/event/7/contributions/432
1/
LOCATION:Niels Bohr International Academy Aud. A
URL:https://indico.nbi.ku.dk/event/7/contributions/4321/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gluing construction for asymptotically hyperbolic manifolds with c
onstant scalar curvature
DTSTART;VALUE=DATE-TIME:20080410T120000Z
DTEND;VALUE=DATE-TIME:20080410T130000Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4320@indico.nbi.ku.dk
DESCRIPTION:Speakers: Erwann Delay (Avignon)\nWe will see that the Corvino
gluing technique can be adapted to the\nasymptotically hyperbolic\ncontex
t. More precisely\, if a Riemannian metric with constant negative scalar\n
curvature is asymptotic to\na hyperbolic model at infinity\, it can be glu
ed on an "annulus" with a\nSchwarzschild-AdS slice to a new constant\nsca
lar curvature metric. This produce initial data for the vacuum Einstein\ne
quation that are exactly Schwarzschild-AdS slice\noutside of a compact se
t. This is joint work with Piotr Chrusciel.\n\nhttps://indico.nbi.ku.dk/ev
ent/7/contributions/4320/
LOCATION:Niels Bohr International Academy Aud. A
URL:https://indico.nbi.ku.dk/event/7/contributions/4320/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Open issues in the classification and characterization of higher-
dimensional black holes
DTSTART;VALUE=DATE-TIME:20080411T121500Z
DTEND;VALUE=DATE-TIME:20080411T130000Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4319@indico.nbi.ku.dk
DESCRIPTION:Speakers: Roberto Emparan (Barcelona)\nAfter a review of our c
urrent knowledge about\nhigher-dimensional black holes\, I will discuss so
me problems that\narise due to novel types of black holes that do not aris
e in four\ndimensions. In particular\, the absence of uniqueness\, and the
\nexistence of horizons with the geometry of a product space seem to\nrequ
ire new ideas and tools in order to achieve a better\ncharacterization and
classification of black holes.\n\nhttps://indico.nbi.ku.dk/event/7/contri
butions/4319/
LOCATION:Niels Bohr International Academy Aud. A
URL:https://indico.nbi.ku.dk/event/7/contributions/4319/
END:VEVENT
BEGIN:VEVENT
SUMMARY:One-parameter families of conformally related asymptotically flat\
, static vacuum data
DTSTART;VALUE=DATE-TIME:20080412T093500Z
DTEND;VALUE=DATE-TIME:20080412T102000Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4318@indico.nbi.ku.dk
DESCRIPTION:Speakers: Helmut Friedrich (AEI Golm)\nWe give a complete desc
ription of the asymptotically flat\,\nconformally non-flat\, static vacuum
data which admit conformal\nmappings onto other such data which extend sm
oothly to space-like\ninfinity. These data form a 3-parameter family which
decomposes into\n1-parameter families of data which are conformal to each
other\n\nhttps://indico.nbi.ku.dk/event/7/contributions/4318/
LOCATION:Niels Bohr International Academy Aud. A
URL:https://indico.nbi.ku.dk/event/7/contributions/4318/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ricci flow as an algorithm to construct black hole metrics
DTSTART;VALUE=DATE-TIME:20080411T082000Z
DTEND;VALUE=DATE-TIME:20080411T090500Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4317@indico.nbi.ku.dk
DESCRIPTION:Speakers: Tobias Wiseman (Imperial College)\nRicci flow potent
ially provides a tool to allow explicit numerical\nconstruction of black h
ole metrics of interest in physics.\nWhilst in 4 dimensions stationary bla
ck holes of interest are known\nanalytically\, I will discuss how black ho
les in theories with extra\ndimensions (such as string theory) are general
ly not known\nanalytically. Then a numerical construction of the metric is
likely\nthe only way to examine them. I will show that black holes (of\ni
nterest) are actually unstable fixed points of Ricci flow and I will\ndisc
uss how to use the flow in practice for this application.\n\nhttps://indic
o.nbi.ku.dk/event/7/contributions/4317/
LOCATION:Niels Bohr International Academy Aud. A
URL:https://indico.nbi.ku.dk/event/7/contributions/4317/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rate of change of widths under flows
DTSTART;VALUE=DATE-TIME:20080412T073000Z
DTEND;VALUE=DATE-TIME:20080412T081500Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4316@indico.nbi.ku.dk
DESCRIPTION:Speakers: Tobias Colding ()\nhttps://indico.nbi.ku.dk/event/7/
contributions/4316/
LOCATION:Niels Bohr International Academy Aud. A
URL:https://indico.nbi.ku.dk/event/7/contributions/4316/
END:VEVENT
BEGIN:VEVENT
SUMMARY:On the Penrose Conjecture for Arbitrary Slices of a Spacetime
DTSTART;VALUE=DATE-TIME:20080408T093000Z
DTEND;VALUE=DATE-TIME:20080408T103000Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4315@indico.nbi.ku.dk
DESCRIPTION:Speakers: Hubert Bray (Duke)\nThe proofs of the Riemannian Pen
rose Conjecture by Huisken-Ilmanen in\n1997 (for one black hole) and by th
e speaker in 1999 (for any number of\nblack holes) describe the geometric
relationships between the total mass\nof a slice of a spacetime and the si
ze and number of black holes in the\nslice\, in the special case that the
slice has zero second fundamental\nform in the spacetime. However\, Penro
se's original 1973 conjecture\nconcerns any asymptotically flat\, space-li
ke slice of a spacetime and\,\nconsequently\, is still open in its most ge
neral form. In this talk\, the\nspeaker will describe a joint effort with
Marcus Khuri to reduce the\ngeneral case of the Penrose Conjecture to the
known case using a\ngeneralization of Jang's equation (used to prove the
general case of the\npositive mass theorem) and a new geometric identity\,
which we are\ncalling the generalized Schoen-Yau identity\, which is desi
gned to\nrecognize arbitrary space-like slices of static spacetimes (like
the\nSchwarzschild spacetime\, which is the case of equality of the Penros
e\nConjecture)\, and hence is ideally suited for our purposes. We will th
en\ndiscuss three different systems of p.d.e.s whose solutions\, when they
\nexist\, imply the Penrose Conjecture.\n\nhttps://indico.nbi.ku.dk/event/
7/contributions/4315/
LOCATION:Niels Bohr International Academy Aud. A
URL:https://indico.nbi.ku.dk/event/7/contributions/4315/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The non-linear stability problem for black hole spacetimes
DTSTART;VALUE=DATE-TIME:20080415T114500Z
DTEND;VALUE=DATE-TIME:20080415T124500Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4314@indico.nbi.ku.dk
DESCRIPTION:Speakers: Mihalis Dafermos (Cambridge)\nhttps://indico.nbi.ku.
dk/event/7/contributions/4314/
LOCATION:Niels Bohr International Academy Aud. A
URL:https://indico.nbi.ku.dk/event/7/contributions/4314/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stability of marginally trapped surfaces\, and applications to bla
ck holes
DTSTART;VALUE=DATE-TIME:20080411T093500Z
DTEND;VALUE=DATE-TIME:20080411T102000Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4313@indico.nbi.ku.dk
DESCRIPTION:Speakers: Greg Galloway (Miami)\nA basic result in the theory
of black holes is\nHawking's theorem on the topology of black holes\, whic
h asserts\nthat cross sections of the event horizon in (3+1)-dimensional\n
asymptotically flat stationary black hole spacetimes obeying the\ndominant
energy condition are topologically 2-spheres. Recent\ninterest and develo
pments in the study of higher dimensional\nblack holes has drawn attention
to the question of what are the\nallowable black hole topologies in highe
r dimensions. We have\naddressed this question in two recent papers\, the
first with\nRick Schoen\, resulting in a natural generalization of Hawking
's\ntheorem to higher dimensions. In this talk we discuss these\nworks an
d some further related developments. The results we\ndescribe are based o
n properties of marginally outer trapped\nsurfaces\, which are natural spa
cetime analogues of minimal\nsurfaces\, and which form the focus of our ta
lk.\n\nhttps://indico.nbi.ku.dk/event/7/contributions/4313/
LOCATION:Niels Bohr International Academy Aud. A
URL:https://indico.nbi.ku.dk/event/7/contributions/4313/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Regularity conditions at spatial infinity revisited
DTSTART;VALUE=DATE-TIME:20080414T090000Z
DTEND;VALUE=DATE-TIME:20080414T100000Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4312@indico.nbi.ku.dk
DESCRIPTION:Speakers: Juan A Valiente (Queen Mary\, London)\nH. Friedrich
has shown that if one considers a time symmetric initial\ndata set for the
Einstein vacuum equations admitting an analytic\ncompactification at infi
nity\, then necessary conditions for the\nsolutions to the transport syste
m implied by the conformal Einstein\nequations at the cylinder at spatial
infinity to extend smoothly to\nthe critical sets where null infinity touc
hes spatial infinity is that\nthe Cotton-Bach tensor of the conformal metr
ic\, and its trace-free\nsymmetrised higher order derivatives vanish at sp
atial infinity.\n\n\nIn this talk the generalisation of this regularity co
ndition to data\nwith non-vanishing second fundamental forms is examined.
It is\ndiscussed how these regularity conditions can be phrased in terms o
f\nthe vanishing at infinity of a pair of tensors and their higher order\n
symmetrised derivatives. It is shown that these "generalised\nregularity c
onditions" are only a restriction on the freely specifiable\ndata. The rel
ation of these "generalised regularity conditions" to\nstationary data is
considered. Finally\, it is also discussed how these\nregularity condition
s can be used to construct purely radiative data\nat "past null infinity".
\n\nhttps://indico.nbi.ku.dk/event/7/contributions/4312/
LOCATION:Niels Bohr International Academy Aud. A
URL:https://indico.nbi.ku.dk/event/7/contributions/4312/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The Motion of `Point Particles'
DTSTART;VALUE=DATE-TIME:20080410T131500Z
DTEND;VALUE=DATE-TIME:20080410T141500Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4311@indico.nbi.ku.dk
DESCRIPTION:Speakers: Robert Wald (Chicago)\nhttps://indico.nbi.ku.dk/even
t/7/contributions/4311/
LOCATION:Niels Bohr International Academy Aud. A
URL:https://indico.nbi.ku.dk/event/7/contributions/4311/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The non-linear stability problem for black hole spacetimes
DTSTART;VALUE=DATE-TIME:20080416T131500Z
DTEND;VALUE=DATE-TIME:20080416T141500Z
DTSTAMP;VALUE=DATE-TIME:20190819T185805Z
UID:indico-contribution-7-4310@indico.nbi.ku.dk
DESCRIPTION:Speakers: Mihalis Dafermos (Cambridge)\nhttps://indico.nbi.ku.
dk/event/7/contributions/4310/
LOCATION:Niels Bohr International Academy Aud. A
URL:https://indico.nbi.ku.dk/event/7/contributions/4310/
END:VEVENT
END:VCALENDAR