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Article Dans Une Revue Physical Review D Année : 2010

Recovery of general relativity in massive gravity via the Vainshtein mechanism

E. Babichev

Résumé

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.
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hal-03645996 , version 1 (06-09-2022)

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E. Babichev, C. Deffayet, R. Ziour. Recovery of general relativity in massive gravity via the Vainshtein mechanism. Physical Review D, 2010, 82, pp.104008. ⟨10.1103/PhysRevD.82.104008⟩. ⟨hal-03645996⟩
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