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Title: Open FRW universes and self-acceleration from nonlinear massive gravity

Abstract

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.

Authors:
; ;  [1]
  1. IPMU, The University of Tokyo, Kashiwa, Chiba 277-8582 (Japan)
Publication Date:
OSTI Identifier:
22279702
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2011; Journal Issue: 11; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ACCELERATION; APPROXIMATIONS; COSMOLOGICAL CONSTANT; COSMOLOGY; EQUATIONS OF MOTION; FIELD EQUATIONS; GRAVITATION; LORENTZ INVARIANCE; MASS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; SCALARS; UNIVERSE

Citation Formats

Gümrükçüoğlu, A. Emir, Lin, Chunshan, and Mukohyama, Shinji. Open FRW universes and self-acceleration from nonlinear massive gravity. United States: N. p., 2011. Web. doi:10.1088/1475-7516/2011/11/030.
Gümrükçüoğlu, A. Emir, Lin, Chunshan, & Mukohyama, Shinji. Open FRW universes and self-acceleration from nonlinear massive gravity. United States. https://doi.org/10.1088/1475-7516/2011/11/030
Gümrükçüoğlu, A. Emir, Lin, Chunshan, and Mukohyama, Shinji. Tue . "Open FRW universes and self-acceleration from nonlinear massive gravity". United States. https://doi.org/10.1088/1475-7516/2011/11/030.
@article{osti_22279702,
title = {Open FRW universes and self-acceleration from nonlinear massive gravity},
author = {Gümrükçüoğlu, A. Emir and Lin, Chunshan and Mukohyama, Shinji},
abstractNote = {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.},
doi = {10.1088/1475-7516/2011/11/030},
url = {https://www.osti.gov/biblio/22279702}, journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 11,
volume = 2011,
place = {United States},
year = {2011},
month = {11}
}