Carroll versus Galilei gravity

Autor(en)

Eric Bergshoeff, Joaquim Gomis, Blaise Rollier, Jan Rosseel, Tonnis ter Veldhuis

Abstrakt

We consider two distinct limits of General Relativity that in contrast to the standard non-relativistic limit can be taken at the level of the Einstein-Hilbert action instead of the equations of motion. One is a non-relativistic limit and leads to a so- called Galilei gravity theory, the other is an ultra-relativistic limit yielding a so-called Carroll gravity theory. We present both gravity theories in a first-order formalism and show that in both cases the equations of motion (i) lead to constraints on the geometry and (ii) are not su ffi cient to solve for all of the components of the connection fi elds in terms of the other fields. Using a second-order formalism we show that these independent components serve as Lagrange multipliers for the geometric constraints we found earlier. We point out a few noteworthy differences between Carroll and Galilei gravity and give some examples of matter couplings.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

University of Groningen, Universitat de Barcelona

Journal

Journal of High Energy Physics

Band

2017

Anzahl der Seiten

26

ISSN

1029-8479

DOI

https://doi.org/10.1007/JHEP03(2017)165

Publikationsdatum

03-2017

Peer-reviewed

Ja

ÖFOS 2012

103012 Hochenergiephysik, 103028 Relativitätstheorie

Schlagwörter

ASJC Scopus Sachgebiete

Nuclear and High Energy Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/fd76c555-d0a1-4382-9027-f857275f796c