Non-relativistic expansion of the Einstein-Hilbert Lagrangian
General Relativity and Quantum Cosmology
2020-01-30 v2 High Energy Physics - Theory
Abstract
We present a systematic technique to expand the Einstein-Hilbert Lagrangian in inverse powers of the speed of light squared. The corresponding result for the non-relativistic gravity Lagrangian is given up to next-to-next-to-leading order. The techniques are universal and can be used to expand any Lagrangian theory whose fields are a function of a given parameter.
Keywords
Cite
@article{arxiv.1905.13723,
title = {Non-relativistic expansion of the Einstein-Hilbert Lagrangian},
author = {Dennis Hansen and Jelle Hartong and Niels A. Obers},
journal= {arXiv preprint arXiv:1905.13723},
year = {2020}
}
Comments
Proceedings of MG15 meeting, session on Applied Newton-Cartan Geometry, 6 pages, v2: minor corrections