Open FRW universes and self-acceleration from nonlinear massive gravity

By A. Gumrukcuoglu, Chunshan Lin, S. Mukohyama. 2011

220 citations recorded by the source corpus.

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 Stuckelberg 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± = c±mg2. Here, mg is the graviton mass, + and - represent the two branches, and c± 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.

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

View Paper: https://www.semanticscholar.org/paper/ed37f433325bb81a032f1a03eeb08fe57cab3c76

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Citations in the corpus

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]).”
Dark Energy in Light of Multi-Messenger Gravitational-Wave Astronomy (2018, background): “Accelerating solutions without a cosmological constant (CC) do exist with open spatial hypersurfaces (Gumrukcuoglu et al., 2011), but they are unstable (De Felice et al.”
Massive Cosmologies (2011, background): “[21], after the first version of this paper was posted on the arXiv.”
Massive Gravity (2014, background): “2 Open FLRW solutions While the previous argument rules out the possibility of spatially flat and closed FLRW solutions, open ones are allowed [283].”
A systematic approach to generalisations of General Relativity and their cosmological implications (2018, methodology): “However, one can construct open FLRW solutions, as it was shown in [186].”
Cosmological tests of modified gravity (2015, background): “If we assume that the fiducial metric Σν μ obeys the FRW symmetry only the open FRW solution is allowed [132, 133].”
Cosmology and Fundamental Physics with the Euclid Satellite (2012, background): “The no-go theorem for the existence of flat/closed FRW solutions does not apply to the case of open FRW solutions [554].”
On couplings to matter in massive (bi-)gravity (2014, background): “metric, the constraint that removes the BD ghost is also preventing the existence of exact FLRW solutions7 [95]. This no-go is violated when considering more generic reference metrics (open Minkowski [106] or FLRW [107]), or when generalising massive gravity to its quasi-dilaton or bi-gravity extens”
Beyond the Cosmological Standard Model (2014, unknown): “Nevertheless, there exist other cosmological solutions: open FLRW [640], and cosmologies with anisotropies in the Stückelberg sector [641–643, 645, 646].”