Is nonrelativistic gravity possible?

Armen A Kocharyan

Research output: Contribution to journalArticleResearchpeer-review

33 Citations (Scopus)

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, (antia??)de Sitter black holes of Einstein gravity and IR limit of Ho??ava gravity are locally identical.
Original languageEnglish
Pages (from-to)029908-1 - 029908-4
Number of pages1
JournalPhysical Review D
Volume80
Issue number2
Publication statusPublished - 2009

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