Restoring general relativity in massive bigravity theory

Eugeny Babichev and Marco Crisostomi
Phys. Rev. D 88, 084002 – Published 2 October 2013

Abstract

We study static spherically symmetric solutions of massive bigravity theory, free from the Boulware-Deser ghost. We show the recovery of general relativity via the Vainshtein mechanism, in the weak limit of the physical metric. We find a single polynomial equation determining the behavior of the solution for distances smaller than the inverse graviton mass. This equation is generically of the seventh order, while for a specific choice of the parameters of the theory it can be reduced to lower orders. The solution is analytic in different regimes: for distances below the Vainshtein radius (where general relativity is recovered), and in the opposite regime, beyond the Vainshtein radius, where the solution approaches the flat metric.

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  • Received 5 August 2013

DOI:https://doi.org/10.1103/PhysRevD.88.084002

© 2013 American Physical Society

Authors & Affiliations

Eugeny Babichev1 and Marco Crisostomi1,2,3,4

  • 1Laboratoire de Physique Théorique, Université Paris-Sud, CNRS UMR 8627, F-91405 Orsay, France
  • 2Dipartimento di Scienze Fisiche e Chimiche, Università di L’Aquila, I-67010 L’Aquila, Italy
  • 3Laboratori Nazionali del Gran Sasso, INFN, I-67010 Assergi, Italy
  • 4Université Paris Diderot-Paris 7, F-75205 Paris, France

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Issue

Vol. 88, Iss. 8 — 15 October 2013

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