Seminars and discussions on Non-Relativistic Gravity
13.30 – 14.00 Dennis Hansen (ETH, Zurich)
14.00 – 14.30 Johannes Lahnsteiner (University of Groningen)
14.30 – 14.40 break
14.40 – 15.10 Lucrezia Ravera (Politecnico di Torino)
15.10 – 15.40 Axel Kleinschmidt (Albert-Einstein-Institute, Potsdam)
15.40 – 16.00 break
16.00 – 17.00 discussion session with speakers and participants
moderated by Jan Rosseel
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Titles and Abstracts (for pdf file of the talk click the title)
13.30 – 14.00 Dennis Hansen (ETH, Zurich)
`Non-Relativistic Sector of GR'
Abstract: In this talk we will study the 1/c^2 expansion of General
Relativity, where c is the speed of light. This yields a manifestly
non-relativistic, diffeomorphic invariant theory of gravity with an off
shell description. This extends non-relativistic gravity beyond
weak-field Newtonian gravitation in a geometric framework which is a
novel type of Newton-Cartan geometry that includes time dilation and
torsion. We shall see how canonical GR spacetimes like Schwarzschild,
the Tolman--Oppenheimer--Volkoff solution for a fluid star, the FLRW
cosmology and anti-de Sitter all are exact solutions to this theory and
study couplings to matter.
References: arXiv:2001.10277 [gr-qc], arXiv:1905.13723 [gr-qc],
arXiv:1904.05706 [gr-qc], arXiv:1807.04765 [hep-th].
14.00 – 14.30 Johannes Lahnsteiner (University of Groningen)
`Non-Relativistic Supersymmetry on Curved Three-Manifolds'
Abstract: I will discuss recent progress in the study of supersymmetric
field theories on curved Newton-Cartan three-manifolds. The
supersymmetry parameters have to solve associated Killing spinor
equations. Galilean covariance requires these equations to form a set of
two algebraic and two differential equations. I will present explicit
examples of consistent Newton-Cargan geometries that solve these Killing
spinor equations and discuss an associated field theory. Moreover, I
will highlight the general lessons learned and speculate about extensions.
14.30 – 14.40 break
14.40 – 15.10 Lucrezia Ravera (Politecnico di Torino)
`Chern-Simons formulation of non- and ultra-relativistic (super)gravity
theories in 2+1 spacetime dimensions'
Abstract: Non- and ultra-relativistic symmetries attracted a particular
interest over recent years due to their many applications in the context
of strongly coupled condensed matter systems as well as non-relativistic
effective field theories, gravity models, and holography. In this
presentation, I will focus on the construction and analysis of
three-dimensional non- and ultra-relativistic (super)gravity models
described by Chern-Simons actions as gauge theories.
15.10 – 15.40 Axel Kleinschmidt (Albert-Einstein-Institute, Potsdam)
`Post-Galilean symmetries'
Abstract: Performing a Wigner-Inonu contraction on the relativistic
Poincare algebra leads to the non-relativistic Galilei algebra. I will
present work on how non-relativistic corrections to this construction
can be described algebraically, which provides a kinematical framework
for post-Galilean corrections. I will discuss applications of this
framework to particle dynamics and gravity. The talk is based on
1910.13560 and 1912.07564 with Joaquim Gomis, Jakob Palmkvist and
Patricio Salgado-Rebolledo.
