Cosmological perturbations of massive gravity coupled to DBI Galileons

Andrews, Melinda; Hinterbichler, Kurt; Stokes, James; Trodden, Mark

doi:10.1088/0264-9381/30/18/184006

Cited by 23 publications

(31 citation statements)

References 67 publications

(119 reference statements)

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“…This constraint equation complements the Friedmann equations given in (37). In the absence of matter (ρ m = P m = 0), and assuming expansion (H > 0), we have from (37) and (42),…”

Section: =N (T)nsupporting

confidence: 52%

See 1 more Smart Citation

Cosmology in rotation-invariant massive gravity with non-trivial fiducial metric

Langlois¹,

Mukohyama²,

Namba³

et al. 2014

Class. Quantum Grav.

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We investigate the cosmology of SO(3)-invariant massive gravity with 5 degrees of freedom. In contrast with previous studies, we allow for a non-trivial fiducial metric, which can be justified by invoking, for example, a dilaton-like global symmetry. We write the homogeneous and isotropic equations of motion in this more general setup and identify, in particular, de Sitter solutions. We then study the linear perturbations around the homogeneous cosmological solutions, by deriving the quadratic Lagrangian governing the dynamics of scalar, vector and tensor modes. We thus obtain the conditions for the perturbations to be well-behaved. We show that it is possible to find de Sitter solutions whose perturbations are weakly coupled and stable, i.e. without ghost-like or gradient instabilities.

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“…This constraint equation complements the Friedmann equations given in (37). In the absence of matter (ρ m = P m = 0), and assuming expansion (H > 0), we have from (37) and (42),…”

Section: =N (T)nsupporting

confidence: 52%

“…However, on all known homogeneous and isotropic self-accelerating solutions in the DBI massive gravity, three among the six degrees of freedom have vanishing (time) kinetic terms [37,38] and are thus expected to exhibit nonlinear instability as in the case of dRGT.…”

Section: Introductionmentioning

confidence: 99%

Cosmology in rotation-invariant massive gravity with non-trivial fiducial metric

Langlois¹,

Mukohyama²,

Namba³

et al. 2014

Class. Quantum Grav.

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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]). One concrete proposal for adding new fields which has attracted some attention is so-called quasi-dilaton massive gravity, where the theory enjoys a scaling symmetry [745].…”

Section: Self-accelerating Solutions In the Decoupling Limitmentioning

confidence: 99%

Beyond the cosmological standard model

et al. 2015

Self Cite

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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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“…This theory was shown to be free of any Ostrogradsky ghost in [19] and the cosmology was recently studied in [315] and perturbations in [20]. …”

Section: Extensions Of Ghost-free Massive Gravitymentioning

confidence: 99%

“…We can also allow the mass to become dependent on a field [489, 375], extend to multiple metrics/vierbeins [454], extensions with f ( R ) terms either in massive gravity [89] or in bi-gravity [416, 415] which leads to interesting self-accelerating solutions. Alternatively, one can consider other extensions to the form of the mass terms by coupling massive gravity to the DBI Galileons [237, 19, 20, 315]. …”

Section: Cosmologymentioning

confidence: 99%

Massive Gravity

Rham

2014

Living Rev. Relativ.

1,010

1,062

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We review recent progress in massive gravity. We start by showing how different theories of massive gravity emerge from a higher-dimensional theory of general relativity, leading to the Dvali-Gabadadze-Porrati model (DGP), cascading gravity, and ghost-free massive gravity. We then explore their theoretical and phenomenological consistency, proving the absence of Boulware-Deser ghosts and reviewing the Vainshtein mechanism and the cosmological solutions in these models. Finally, we present alternative and related models of massive gravity such as new massive gravity, Lorentz-violating massive gravity and non-local massive gravity.

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Cosmological perturbations of massive gravity coupled to DBI Galileons

Cited by 23 publications

References 67 publications

Cosmology in rotation-invariant massive gravity with non-trivial fiducial metric

Cosmology in rotation-invariant massive gravity with non-trivial fiducial metric

Beyond the cosmological standard model

Massive Gravity

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