Carroll versus Galilei gravity
By Eric Bergshoeff, Joaquim Gomis, B. Rollier, Jan Rosseel, T. Veldhuis. 2017
150 citations recorded by the source corpus.
A bstractWe 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.
Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/9ed5282fb75fb74bd5d524f3300fc9d16477381a
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In Astronomy and Astrophysics
In Atomic and Molecular Physics, and Optics
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Citations in the corpus
- Carroll contractions of Lorentz-invariant theories (2021, methodology): “In fact, covariant actions for Carroll gravity have been constructed in [34, 35] by gauging the Carroll algebra2.”