Is nonrelativistic gravity possible?

Details Is nonrelativistic gravity possible? Is nonrelativistic gravity possible?

2009-05-26

arxiv.org/abs/0905.4204v2

Phys. Rev. D 80, 024026 (2009)

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, v2, typos corrected, published in Physical Review D

Scientific paper

10.1103/PhysRevD.80.024026

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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