2010/02/28 by Hans‐Joachim Blome, Hans-Joachim Blome, Carmen Chicone +2 · 73 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical field theory #Classical mechanics #Cosmology and Gravitation Theories #General relativity #Geometry #Gravitation #Mathematical physics #Mathematics #Newtonian fluid #Parameterized post-Newtonian formalism #Physics #Quantum mechanics #Quantum nonlocality #Relativity and Gravitational Theory #Scalar (mathematics) #Theoretical physics #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.81.065020
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 81(6) (American Physical Society) · 11 pages, 1 figure; v2: minor typos corrected, accepted for publication in Phys. Rev. D
arxiv created 2010/03/11 · openalex publication_date 2010/03/18 · arxiv updated 2010/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Newtonian regime of a recent nonlocal extension of general relativity is investigated. Nonlocality is introduced via a scalar ``constitutive'' kernel in a special case of the translational gauge theory of gravitation, namely, the teleparallel equivalent of general relativity. In this theory, the nonlocal aspect of gravity simulates dark matter. A nonlocal and nonlinear generalization of Poisson's equation of Newtonian gravitation is presented. The implications of nonlocality for the gravitational physics in the solar system are briefly studied.