Cosmological solutions in bimetric gravity and their observational tests

Strauss, Mikael von; Schmidt-May, Angnis; Enander, Jonas; Mörtsell, Edvard; Hassan, S. F.

doi:10.1088/1475-7516/2012/03/042

Cited by 230 publications

(370 citation statements)

References 55 publications

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“…The correct action corresponding to this must have α1 = 0 such that β0 = 0, consistent with the massive gravity limit of the theory found here. disappears, as can be verified from [36]. Hence the theory leaves one of the three functions in (6.1) undetermined.…”

Section: Nonlinear Scaling Symmetrymentioning

confidence: 67%

“…Here we point out that the theory specified by (4.6) definitely has an extra nonlinear gauge symmetry for one class of non-proportional backgrounds. Consider non-proportional homogeneous and isotropic backgrounds parameterized by three functions a(t), Y (t) and X(t) [36],…”

Section: Nonlinear Scaling Symmetrymentioning

confidence: 99%

“…The massive gravity action presented there contains the original dRGT potential which is constructed with α1 = 0 so that the gµν = fµν solutions have zero cosmological constant. Using this action one reads off β1 = β3 = 0, β2 = − 1 2 and β0 = 3 2 = 0 (for example, using the relations in appendix B of [36]). However, to find the PM symmetry, [23] considers perturbations around gµν = fµν backgrounds with a de Sitter fµν .…”

Section: Nonlinear Scaling Symmetrymentioning

confidence: 99%

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On partially massless bimetric gravity

2013

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Abstract:We extend the notion of the Higuchi bound and partial masslessness to ghostfree nonlinear bimetric theories. This can be acheived in a simple way by first considering linear massive spin-2 perturbations around maximally symmetric background solutions, for which the linear gauge symmetry at the Higuchi bound is easily identified. Then, requiring consistency between an appropriate subset of these transformations and the dynamical nature of the backgrounds, fixes all but one parameter in the bimetric interaction potential. This specifies the theory upto the value of the Fierz-Pauli mass and leads to the unique candidate for nonlinear partially massless bimetric theory.

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Section: Nonlinear Scaling Symmetrymentioning

confidence: 67%

Section: Nonlinear Scaling Symmetrymentioning

confidence: 99%

Section: Nonlinear Scaling Symmetrymentioning

confidence: 99%

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On partially massless bimetric gravity

2013

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“…One possibility is to let the background metric be dynamical, and consider a bi-metric theory [658,[717][718][719] (or even a multi-metric theory [655,[719][720][721]), leading to different cosmological solutions [620,[722][723][724][725][726][727][728][729][730][731][732][733][734][735]. Another possibility is to let the graviton mass itself be a field [736][737][738] or to couple in additional fields [739][740][741][742][743] (for instance galileon scalar fields [559,561,744]).…”

Section: Self-accelerating Solutions In the Decoupling Limitmentioning

confidence: 99%

Beyond the cosmological standard model

et al. 2015

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After a decade and a half of research motivated by the accelerating universe, theory and experiment have a reached a certain level of maturity. The development of theoretical models beyond Λ or smooth dark energy, often called modified gravity, has led to broader insights into a path forward, and a host of observational and experimental tests have been developed. In this review we present the current state of the field and describe a framework for anticipating developments in the next decade. We identify the guiding principles for rigorous and consistent modifications of the standard model, and discuss the prospects for empirical tests.We begin by reviewing recent attempts to consistently modify Einstein gravity in the infrared, focusing on the notion that additional degrees of freedom introduced by the modification must "screen" themselves from local tests of gravity. We categorize screening mechanisms into three broad classes: mechanisms which become active in regions of high Newtonian potential, those in which first derivatives of the field become important, and those for which second derivatives of the field are important. Examples of the first class, such as f (R) gravity, employ the familiar chameleon or symmetron mechanisms, whereas examples of the last class are galileon and massive gravity theories, employing the Vainshtein mechanism. In each case, we describe the theories as effective theories and discuss prospects for completion in a more fundamental theory. We describe experimental tests of each class of theories, summarizing laboratory and solar system tests and describing in some detail astrophysical and cosmological tests. Finally, we discuss prospects for future tests which will be sensitive to different signatures of new physics in the gravitational sector.The review is structured so that those parts that are more relevant to theorists vs. observers/experimentalists are clearly indicated, in the hope that this will serve as a useful reference for both audiences, as well as helping those interested in bridging the gap between them.

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“…Generic cosmological and localized solutions in this theory could show large deviations from solutions in general relativity (GR) although there also exist classes of solutions that are close to GR spacetimes [26][27][28][29][30][31][32]. Below, we will first describe the issues that arise out of interpreting (1.1) as a theory of a spin-2 field coupled to gravity, and summarize our results.…”

Section: Introduction Motivation and Summarymentioning

confidence: 99%

On consistent theories of massive spin-2 fields coupled to gravity

Hassan

Schmidt-May

Strauss

2013

J. High Energ. Phys.

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125

177

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We consider the issues that arise out of interpreting the ghost-free bimetric theory as a theory of a spin-2 field coupled to gravity. This requires identifying a gravitational metric and parameterizing deviations of the resulting theory from general relativity. To this end, we first consider the most general bimetric backgrounds for which a massless and a massive spin-2 fluctuation exist, and we compute the most general expression for the Fierz-Pauli mass. These backgrounds coincide with solutions in general relativity. Based on this, we obtain nonlinear extensions of the massive and massless spin-2 fields. The background value of the nonlinear massive field parameterizes generic deviations of the bimetric theory from GR. It is also shown that the most natural nonlinear massless field does not have standard ghost-free matter couplings, and hence cannot represent the gravitational metric. However, an appropriate gravitational metric can still be identified in the weak gravity limit. Hence in the presence of other neutral spin-2 fields, the weak gravity limit is crucial for compatibility with general relativity. We also write down the action in terms of the nonlinear massive spin-2 field and obtain its ghost-free couplings to matter. The discussion is then generalized to multimetric theories.

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Cosmological solutions in bimetric gravity and their observational tests

Cited by 230 publications

References 55 publications

On partially massless bimetric gravity

On partially massless bimetric gravity

Beyond the cosmological standard model

On consistent theories of massive spin-2 fields coupled to gravity

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