Open FRW universes and selfacceleration from nonlinear massive gravity
Abstract
In the context of a recently proposed nonlinear massive gravity with Lorentzinvariant mass terms, we investigate open FriedmannRobertsonWalker (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 nogo 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:

 IPMU, The University of Tokyo, Kashiwa, Chiba 2778582 (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 14757516
 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 selfacceleration from nonlinear massive gravity. United States: N. p., 2011.
Web. doi:10.1088/14757516/2011/11/030.
Gümrükçüoğlu, A. Emir, Lin, Chunshan, & Mukohyama, Shinji. Open FRW universes and selfacceleration from nonlinear massive gravity. United States. https://doi.org/10.1088/14757516/2011/11/030
Gümrükçüoğlu, A. Emir, Lin, Chunshan, and Mukohyama, Shinji. Tue .
"Open FRW universes and selfacceleration from nonlinear massive gravity". United States. https://doi.org/10.1088/14757516/2011/11/030.
@article{osti_22279702,
title = {Open FRW universes and selfacceleration 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 Lorentzinvariant mass terms, we investigate open FriedmannRobertsonWalker (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 nogo 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 = {10.1088/14757516/2011/11/030},
url = {https://www.osti.gov/biblio/22279702},
journal = {Journal of Cosmology and Astroparticle Physics},
issn = {14757516},
number = 11,
volume = 2011,
place = {United States},
year = {2011},
month = {11}
}