Nonlinear stability of cosmological solutions in massive gravity

Felice, Antonio De; Gümrükçüoğlu, A. Emir; Lin, C.; Mukohyama, Shinji

doi:10.1088/1475-7516/2013/05/035

Cited by 106 publications

(101 citation statements)

References 77 publications

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“…Nevertheless, there exist other cosmological solutions: open FLRW [640], and cosmologies with anisotropies in the Stückelberg sector [641-643, 645, 646]. However, perturbations about these solutions appear to be badly-behaved, both linearly [684,[707][708][709][710][711][712][713] and nonlinearly [714][715][716].…”

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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Section: Self-accelerating Solutions In the Decoupling Limitmentioning

confidence: 99%

Beyond the cosmological standard model

et al. 2015

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“…When we apply dRGT gravity to cosmology, a self-accelerating solution is found for the open FRW universe [27]. However, follow-up cosmological perturbation analysis found a new ghost instability among the 5 gravitational degrees of freedom [28][29][30][31][32], and further dRGT gravity might suffer from acausality problems [33,34]. The dRGT ghost instability can be eliminated at the expense of introducing a new degree of freedom [35,36].…”

Section: Jhep03(2016)128mentioning

confidence: 99%

Effective field theory of broken spatial diffeomorphisms

Lin

Labun

2016

J. High Energ. Phys.

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We study the low energy effective theory describing gravity with broken spatial diffeomorphism invariance. In the unitary gauge, the Goldstone bosons associated with broken diffeomorphisms are eaten and the graviton becomes a massive spin-2 particle with 5 well-behaved degrees of freedom. In this gauge, the most general theory is built with the lowest dimension operators invariant under only temporal diffeomorphisms. Imposing the additional shift and SO(3) internal symmetries, we analyze the perturbations on a FRW background. At linear perturbation level, the observables of this theory are characterized by five parameters, including the usual cosmological parameters and one additional coupling constant for the symmetry-breaking scalars. In the de Sitter and Minkowski limit, the three Goldstone bosons are supermassive and can be integrated out, leaving two massive tensor modes as the only propagating degrees of freedom. We discuss several examples relevant to theories of massive gravity.

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“…In order to find an expression for the effective equation of state w eff , we make use of eq. (40). Plugging in eqs.…”

Section: The Theory Of Massive Trigravitymentioning

confidence: 99%

“…In the simplest massive gravity case, in which the reference metric is flat space, spatially-flat and closed Friedmann-Lemaître-Robertson-Walker (FLRW) solutions do not exist [34]. Solutions can be obtained by considering open FLRW or more general reference metrics, but these solutions seem to generically contain instabilities [35][36][37][38][39][40]. In bigravity, the situation is slightly improved, as it is not difficult to find FLRW solutions that agree with observations of the cosmic expansion history [41][42][43][44][45][46][47].…”

Section: Introductionmentioning

confidence: 99%

Cosmology with three interacting spin-2 fields

et al. 2016

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Theories of massive gravity with one or two dynamical metrics generically lack stable and observationally-viable cosmological solutions that are distinguishable from ΛCDM. We consider an extension to trimetric gravity, with three interacting spin-2 fields which are not plagued by the Boulware-Deser ghost. We systematically explore every combination with two free parameters in search of background cosmologies that are competitive with ΛCDM. For each case we determine whether the expansion history satisfies viability criteria, and whether or not it contains beyond-ΛCDM phenomenology. Among the many models we consider, there are only three cases that seem to be both viable and distinguishable from standard cosmology. One of the models has only one free parameter and displays a crossing from above to below the phantom divide. The other two provide scaling behavior, although they contain future singularities that need to be studied in more detail. These models possess interesting features that make them compelling targets for a full comparison to observations of both cosmological expansion history and structure formation.

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Nonlinear stability of cosmological solutions in massive gravity

Cited by 106 publications

References 77 publications

Beyond the cosmological standard model

Beyond the cosmological standard model

Effective field theory of broken spatial diffeomorphisms

Cosmology with three interacting spin-2 fields

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