Recovery of general relativity in massive gravity via the Vainshtein mechanism

Journal Article · Mon Nov 15 00:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.104008· OSTI ID:21503622

Babichev, E ^[1]; Deffayet, C ^[2]; Ziour, R ^[2]

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1. ASC, Department fuer Physik, Ludwig-Maximilians-Universitaet Muenchen, Theresienstrasse 37, D-80333, Munich (Germany)
2. APC, UMR 7164 (CNRS-Universite Paris 7), 10 rue Alice Domon et Leonie Duquet, 75205 Paris Cedex 13 (France)

We study in detail static spherically symmetric solutions of nonlinear Pauli-Fierz theory. We obtain a numerical solution with a constant density source. This solution shows a recovery of the corresponding solution of general relativity via the Vainshtein mechanism. This result has already been presented by us in a recent paper, and we give here more detailed information on it as well as on the procedure used to obtain it. We give new analytic insights into this problem, in particular, for what concerns the question of the number of solutions at infinity. We also present a weak-field limit which allows one to capture all the salient features of the numerical solution, including the Vainshtein crossover and the Yukawa decay.

• OSTI ID: 21503622
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 10; Other Information: DOI: 10.1103/PhysRevD.82.104008; (c) 2010 American Institute of Physics; 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
CAPTURE
DECAY
DENSITY
GENERAL RELATIVITY THEORY
GRAVITATION
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
SYMMETRY
YUKAWA POTENTIAL
FIELD THEORIES
MATHEMATICAL SOLUTIONS
NUCLEAR POTENTIAL
PHYSICAL PROPERTIES
POTENTIALS
RELATIVITY THEORY