Lagrangians for nonrelativistic gravity

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Authors

NOVOSAD Patrik

Year of publication 2022
Type Article in Periodical
Magazine / Source Physical review D
MU Faculty or unit

Faculty of Science

Citation
Web
Doi http://dx.doi.org/10.1103/PhysRevD.105.064051
Keywords Einstein-Hilbert; relativity
Description We study the covariant expansion of Einstein-Hilbert action in powers of 1/c2, where c is the speed of light. We assume arbitrary spacetime foliation, i.e., we separate the tangent index into two groups, which depend on generic n. This is done first by suitable parametrization of geometry which is called "pre-nonrelativistic" parametrization. This allows us to rewrite the general relativity in a form suitable for the analytical 1/c2 expansion. Consequently, we can study the expansion of Einstein-Hilbert action up to the next-to-next-to-leading order.
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