2009/05/31 by A. A. Kocharyan · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Einstein #Formalism (music) #General relativity #Gravitation #Hamiltonian (control theory) #Hamiltonian formalism #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Parameterized post-Newtonian formalism #Physics #Quantum #Quantum gravity #Quantum mechanics #astro-ph.CO #f(R) gravity #gr-qc #hep-th #math.DS
paper · pdf · doi:10.1103/physrevd.80.024026
published as Phys. Rev. D 80, 024026 (2009) · 4 pages, v2, typos corrected, published in Physical Review D
arxiv created 2009/07/17 · openalex publication_date 2009/07/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 \checkr\else \vr\fiava gravity are locally identical.