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arXiv · 0905.4204

Is nonrelativistic gravity possible?

A. A. Kocharyan
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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.

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A. A. Kocharyan. 2009-07-17. Is nonrelativistic gravity possible?. https://doi.org/10.1103/physrevd.80.024026

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