Non-relativistic Limits of General Relativity

Autor(en)

Eric Bergshoeff, Johannes Lahnsteiner, Luca Romano, Jan Rosseel, Ceyda Şimşek

Abstrakt

We discuss non-relativistic limits of general relativity. In particular, we define a special fine-tuned non-relativistic limit, inspired by string theory, where the Einstein-Hilbert action has been supplemented by the kinetic term of a one-form gauge field. Taking the limit, a crucial cancellation takes place, in an expansion of the action in terms of powers of the velocity of light, between a leading divergence coming from the spin-connection squared term and another infinity that originates from the kinetic term of the one-form gauge field such that the finite invariant non-relativistic gravity action is given by the next subleading term. This non-relativistic action allows an underlying torsional Newton-Cartan geometry as opposed to the zero torsion Newton-Cartan geometry that follows from a more standard limit of General Relativity but it lacks the Poisson equation for the Newton potential. We will mention extensions of the model to include this Poisson equation.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

University of Groningen

Seiten

448-455

Anzahl der Seiten

8

DOI

https://doi.org/10.1007/978-3-030-80209-7_49

Publikationsdatum

07-2021

Peer-reviewed

Ja

ÖFOS 2012

103028 Relativitätstheorie

Schlagwörter

ASJC Scopus Sachgebiete

Theoretical Computer Science, Allgemeine Computerwissenschaft

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/7ed9ab8e-3007-4d26-816e-160c1ff78dd0