Open FRW universes and self-acceleration from nonlinear massive gravity

Journal Article · Tue Nov 01 04:00:00 EDT 2011 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2011/11/030· OSTI ID:22279702

Gümrükçüoğlu, A. Emir; Lin, Chunshan; Mukohyama, Shinji ^[1]

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1. IPMU, The University of Tokyo, Kashiwa, Chiba 277-8582 (Japan)

In the context of a recently proposed nonlinear massive gravity with Lorentz-invariant mass terms, we investigate open Friedmann-Robertson-Walker (FRW) universes driven by arbitrary matter source. While the flat FRW solutions were recently shown to be absent, the proof does not extend to the open universes. We find three independent branches of solutions to the equations of motion for the Stückelberg scalars. One of the branches does not allow any nontrivial FRW cosmologies, as in the previous no-go result. On the other hand, both of the other two branches allow general open FRW universes governed by the Friedmann equation with the matter source, the standard curvature term and an effective cosmological constant Λ{sub ±} = c{sub ±}m{sub g}{sup 2}. Here, m{sub g} is the graviton mass, + and - represent the two branches, and c{sub ±} are constants determined by the two dimensionless parameters of the theory. Since an open FRW universe with a sufficiently small curvature constant can approximate a flat FRW universe but there is no exactly flat FRW solution, the theory exhibits a discontinuity at the flat FRW limit.

• OSTI ID: 22279702
• Journal Information: Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 11 Vol. 2011; ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
ACCELERATION
APPROXIMATIONS
COSMOLOGICAL CONSTANT
COSMOLOGY
EQUATIONS OF MOTION
FIELD EQUATIONS
GRAVITATION
LORENTZ INVARIANCE
MASS
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
SCALARS
UNIVERSE