Massive Cosmologies

By Guido D'Amico, Claudia de Rham, S. Dubovsky, G. Gabadadze, D. Pirtskhalava, A. Tolley. 2011

271 citations recorded by the source corpus.

We explore the cosmological solutions of a recently proposed extension of General Relativity with a Lorentz-invariant mass term. We show that the same constraint that removes the Boulware-Deser ghost in this theory also prohibits the existence of homogeneous and isotropic cosmological solutions. Nevertheless, within domains of the size of inverse graviton mass we find approximately homogeneous and isotropic solutions that can well describe the past and present of the Universe. At energy densities above a certain crossover value, these solutions approximate the standard FRW evolution with great accuracy. As the Universe evolves and density drops below the crossover value the inhomogeneities become more and more pronounced. In the low density regime each domain of the size of the inverse graviton mass has essentially nonFRW cosmology. This scenario imposes an upper bound on the graviton mass, which we roughly estimate to be an order of magnitude below the present-day value of the Hubble parameter. The bound becomes especially restrictive if one utilizes an exact self-accelerated solution that this theory offers. Although the above are robust predictions of massive gravity with an explicit mass term, we point out that if the mass parameter emerges from some additional scalar field condensation, the constraint no longer forbids the homogeneous and isotropic cosmologies. In the latter case, there will exist an extra light scalar field at cosmological scales, which is screened by the Vainshtein mechanism at shorter distances.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e4517fea5264fda616f6425f213c0cc2f6c1887e

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Citations in the corpus

Beyond the Cosmological Standard Model (2014, unknown): “In [636], it was shown that the non-linear theory does not admit flat FLRW solutions.”
Cosmological stability bound in massive gravity and bigravity (2013, background): “However, it was argued in [48] that observationally consistent inhomogenous solutions should exist (see also [49–56] for different approaches).”
Theoretical Aspects of Massive Gravity (2011, background): “One surprising feature is the absence of any non-trivial spatially flat FRW solutions [245] (see also [246]).”
Nonlocal gravity. Conceptual aspects and cosmological predictions (2017, background): “However, once again, their application to cosmology has shown how non-trivial is to build an IR modification of GR with a stable evolution at the background level, as well as at the level of cosmological perturbations; indeed, massive gravity has difficulties already in obtaining a viable background”
On couplings to matter in massive (bi-)gravity (2014, background): “poses m 2M Pl (aN) 1@ t a 2 a3 = 2 ~a H ˜_2 0 2N~2 + V(˜ 0) : (5.8) 4One could also x a gauge for the metric and keep the Stuc kelberg elds in, which is of course completely equivalent procedure [93]. { 17 { In the case where matter uniquely couples to the standard metric rather than to the eectiv”
Cosmic acceleration from Abelian symmetry breaking (2014, background): “Thanks to its connection with Galileons, dRGT massive gravity is an appealing set-up since it admits cosmological solutions describing accelerating universes in the vacuum [3, 4], exhibits a consistent realization of the Vainshtein screening mechanism [5, 6], and keep quantum”