Post-Newtonian limit of f(R) gravity in the harmonic gauge

Journal Article · Wed Sep 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.064021· OSTI ID:21421163

Stabile, A ^[1]

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1. Dipartimento di Ingegneria, Universita del Sannio Corso Garibaldi, I--80125 Benevento (Italy)

A general analytic procedure is developed for the post-Newtonian limit of f(R) gravity with the metric approach in the Jordan frame by using the harmonic gauge condition. In a pure perturbative framework and by using the Green function method, a general scheme of solutions up to (v/c){sup 4} order is shown. Considering the Taylor expansion of a generic function f, it is possible to parametrize the solutions by derivatives of f. At Newtonian order, (v/c){sup 2}, the most important topics about the Gauss and Birkhoff theorems are discussed. The corrections to the 'standard' gravitational potential (tt component of the metric tensor) generated by an extended uniform mass ball-like source are calculated up to (v/c){sup 4} order. The corrections, Yukawa and oscillating-like, are found inside and outside the mass distribution. At last, when the limit f{yields}R is considered, the f(R) gravity converges in general relativity at the level of the Lagrangian, field equations, and their solutions.

• OSTI ID: 21421163
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 6; Other Information: DOI: 10.1103/PhysRevD.82.064021; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CORRECTIONS
EXPANSION
FIELD EQUATIONS
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
GRAVITATION
GREEN FUNCTION
LAGRANGIAN FUNCTION
MASS
MASS DISTRIBUTION
MATHEMATICAL SOLUTIONS
METRICS
QUANTUM GRAVITY
YUKAWA POTENTIAL
DISTRIBUTION
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FIELD THEORIES
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INVARIANCE PRINCIPLES
NUCLEAR POTENTIAL
POTENTIALS
QUANTUM FIELD THEORY
RELATIVITY THEORY
SPATIAL DISTRIBUTION