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2011

Cosmological solutions with massive gravitons in the bigravity theory

Volkov, Mikhail S.

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We present solutions describing homogeneous and isotropic cosmologies in the massive gravity theory with two dynamical metrics recently proposed in arXiv:1109.3515 and claimed to be ghost free.

These solutions can be spatially open, closed, or flat, and at early times they are sourced by the perfect fluid, while the graviton mass typically manifests itself at late times by giving rise to a cosmological term.
In addition, there are also exotic solutions, for which already at early times, when the matter density is high, the contribution of the graviton mass to the energy density is negative and large enough to screen that of the matter contribution.
The total energy can then be negative, which may result in removing the initial singularity.

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D.G. Boulware, S. Deser, Can gravitation have a finite range?
1972
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A.G. Reiss et al., Observational evidence from supernovae for an accelerating universe and a cosmological constant,
1999
Earlier work this paper cites.
T. Damour, I.I. Kogan, A. Papazoglou, Nonlinear bigravity and cosmic acceleration,
2002
Earlier work this paper cites.

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Then

A.H. Chamseddine, M.S. Volkov, Cosmological solutions with massive gravitons
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