Nonlocal modification of Newtonian gravity

Journal Article · Mon Mar 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.065020· OSTI ID:21413429

Blome, Hans-Joachim; Chicone, Carmen; Hehl, Friedrich W; Mashhoon, Bahram ^[1]

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1. Department of Aerospace Technology, Aachen University of Applied Sciences, Hohenstaufenallee 6, 52064 Aachen (Germany)

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.

• OSTI ID: 21413429
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 6; Other Information: DOI: 10.1103/PhysRevD.81.065020; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
GRAVITATION
MODIFICATIONS
NONLINEAR PROBLEMS
NONLUMINOUS MATTER
POISSON EQUATION
SOLAR SYSTEM
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
MATTER
PARTIAL DIFFERENTIAL EQUATIONS
RELATIVITY THEORY