Year: 2009
Type: article
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 Ho\ifmmode \check{r}\else \v{r}\fi{}ava gravity are locally identical.
Author: A. A. Kocharyan
Institution: Monash University
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2179565106