http://link.springer.com/10.1007/JHEP03(2017)165
research_article
en
2019-04-11T00:11
true
articles
165
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 sufficient to solve for all of the components of the connection fields 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.
https://scigraph.springernature.com/explorer/license/
2017-03-01
Carroll versus Galilei gravity
2017-03
doi
10.1007/jhep03(2017)165
ter Veldhuis
Tonnis
Rosseel
Jan
Blaise
Rollier
Bergshoeff
Eric
Springer Nature - SN SciGraph project
University of Vienna
Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090, Vienna, Austria
Mathematical Sciences
Joaquim
Gomis
1126-6708
1029-8479
Journal of High Energy Physics
Centre for Theoretical Physics, University of Groningen, Nijenborgh 4, 9747 AG, Groningen, The Netherlands
University of Groningen
dimensions_id
pub.1084017842
Departament de Física Cuàntica i Astrofísica and Institut de Ciències del Cosmos, Universitat de Barcelona, Martí i Franquès 1, E-08028, Barcelona, Spain
University of Barcelona
Pure Mathematics
2017
readcube_id
b2a189bba3493dcf3331d6820ef738842d399f55696118976b337f313f252210
3