The recovery of General Relativity in massive gravity via the Vainshtein mechanism

Details The recovery of General Relativity in massive gravity via the Vainshtein mechanism The recovery of General Relativity in massive gravity via the Vainshtein mechanism

2010-07-26

arxiv.org/abs/1007.4506v1

Phys.Rev.D82:104008,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

38 pages, 9 Figs, revtex4

Scientific paper

10.1103/PhysRevD.82.104008

We study in detail static spherically symmetric solutions of non linear 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 letter, and we give here more detailed information on it as well as on the procedure used to obtain it. We give new analytic insights upon 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 to capture all the salient features of the numerical solution, including the Vainshtein crossover and the Yukawa decay.

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