Tuesday, July 16, 2013

1307.3640 (Eugeny Babichev et al.)

Restoring General Relativity in massive bi-gravity theory    [PDF]

Eugeny Babichev, Marco Crisostomi
We study static spherically symmetric solutions of massive bi-gravity 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.
View original: http://arxiv.org/abs/1307.3640

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