Is nonrelativistic gravity possible?
High Energy Physics - Theory
2009-07-20 v2 Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
Dynamical Systems
Abstract
We study nonrelativistic gravity using the Hamiltonian formalism. For the dynamics of general relativity (relativistic gravity) the formalism is well known and called the Arnowitt-Deser-Misner (ADM) formalism. We show that if the lapse function is constrained correctly, then nonrelativistic gravity is described by a consistent Hamiltonian system. Surprisingly, nonrelativistic gravity can have solutions identical to relativistic gravity ones. In particular, (anti-)de Sitter black holes of Einstein gravity and IR limit of Horava gravity are locally identical.
Cite
@article{arxiv.0905.4204,
title = {Is nonrelativistic gravity possible?},
author = {A. A. Kocharyan},
journal= {arXiv preprint arXiv:0905.4204},
year = {2009}
}
Comments
4 pages, v2, typos corrected, published in Physical Review D