Title: Cosmology in general massive gravity theories

We study the cosmological FRW flat solutions generated in general massive gravity theories. Such a model are obtained adding to the Einstein General Relativity action a peculiar non derivative potentials, function of the metric components, that induce the propagation of five gravitational degrees of freedom. This large class of theories includes both the case with a residual Lorentz invariance as well as the case with rotational invariance only. It turns out that the Lorentz-breaking case is selected as the only possibility. Moreover it turns out that that perturbations around strict Minkowski or dS space are strongly coupled. The upshot is that even though dark energy can be simply accounted by massive gravity modifications, its equation of state w{sub eff} has to deviate from -1. Indeed, there is an explicit relation between the strong coupling scale of perturbations and the deviation of w{sub eff} from -1. Taking into account current limits on w{sub eff} and submillimiter tests of the Newton's law as a limit on the possible strong coupling scale, we find that it is still possible to have a weakly coupled theory in a quasi dS background. Future experimental improvements on short distance tests of the Newton's law may bemore » used to tighten the deviation of w{sub eff} form -1 in a weakly coupled massive gravity theory.« less

INFN — Sezione di Ferrara, I-35131 Ferrara (Italy)

Gran Sasso Science Institute, viale Crispi 7, I-67100 L'Aquila (Italy)

Dipartimento di Scienze Fisiche e Chimiche, Università di L'Aquila, I-67010 L'Aquila (Italy)

Publication Date:

OSTI Identifier:

22373558

Resource Type:

Journal Article

Resource Relation:

Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2014; Journal Issue: 05; Other Information: Country of input: International Atomic Energy Agency (IAEA)

Country of Publication:

United States

Language:

English

Subject:

79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COSMOLOGY; DEGREES OF FREEDOM; EQUATIONS OF STATE; GENERAL RELATIVITY THEORY; GRAVITATION; LORENTZ INVARIANCE; MATHEMATICAL SOLUTIONS; MINKOWSKI SPACE; NONLUMINOUS MATTER; PERTURBATION THEORY; ROTATIONAL INVARIANCE; STRONG-COUPLING MODEL