Massive Gravity Coupled to Galileons is Ghost-Free

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

doi:10.1103/physrevlett.111.061107

Cited by 39 publications

(42 citation statements)

References 28 publications

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“…They have also been used to violate the null energy condition [537,[544][545][546][547][548][549][550][551][552][553]. Covariantizing the galileons for such applications is subtle, it requires introducing non-minimal couplings to curvature, which generically destroys the shift symmetry [554][555][556][557][558] (for a construction which couples galileons covariantly to massive gravity while retaining galilean symmetry, see [559][560][561]). Galileons have been generalized in various directions: they have been embedded in supersymmetry and supergravity [562][563][564][565], extended to p-forms [566], extended to multi-galileons [567][568][569][570][571][572] and coupled consistently to gauge fields [573,574].…”

Section: The Vainshtein Mechanism: Galileonsmentioning

confidence: 99%

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Beyond the cosmological standard model

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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: The Vainshtein Mechanism: Galileonsmentioning

confidence: 99%

“…See [258] for a review of these extensions. Recently this construction has been applied to cases where the bulk metric itself is dynamical, this results in a theory of coupled galileons and massive gravitons [559][560][561].…”

Section: The Vainshtein Mechanism: Galileonsmentioning

confidence: 99%

Beyond the cosmological standard model

et al. 2015

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“…taken for a solution (20) and consider that an observer is in a nonholonomic basis (1) with N a i = {n i , w i (t)} for a nontrivial off-diagonal vacuum with effective polarizations η α (t). It should be emphasized that a(t) is different fromå(t) for a standard FLRW cosmology.…”

Section: Reconstructing Off-diagonal Cosmological Models In Mgftmentioning

confidence: 99%

“…[14,15] for possible effective actions). Cosmological implications of massive gravity were also analyzed in the framework of modified gravity theories, MGT, [16][17][18][19][20][21][22][23], and also cosmological models related to bi-metric gravity [24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Ghost-free massive $$f(R)$$ f ( R ) theories modeled as effective Einstein spaces and cosmic acceleration

Vacaru

2014

Eur. Phys. J. C

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We study how massive ghost-free gravity f (R)-modified theories, MGFTs, can be encoded into generic off-diagonal Einstein spaces. Using "auxiliary" connections completely defined by the metric fields and adapted to nonholonomic frames with associated nonlinear connection structure, we decouple and integrate in certain general forms the field equations in MGFT. Imposing additional nonholonomic constraints, we can generate Levi-Civita, LC, configurations and mimic MGFT effects via off-diagonal interactions of effective Einstein and/or Einstein-Cartan gravity with nonholonomically induced torsion. We show that imposing nonholonomic constraints it is possible reproduce very specific models of massive f (R) gravity studied in Cai et al. (arXiv:1307.7150, 2013, Klusoňet al. (Phys Lett B 726:918, 2013), Nojiri and Odintov (Phys Lett B 716:377, 2012) and Nojiri et al. (JCAP 1305:020, 2013. The cosmological evolution of ghost-free off-diagonal Einstein spaces is investigated. Certain compatibility of MGFT cosmology to small off-diagonal deformations of CDM models is established.

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“…While the bi-gravity extension generalizes ghost-free massive gravity by adding two helicity-2 modes, another class of extended massive gravity models enriches ghostfree massive gravity by simply adding an extra scalar degree of freedom [41][42][43][44][45][46][47]. The metric of this class of models has to be nondiagonal to avoid the singularities of the I ab type, but the staticity condition now does not restrict X μ ν to a cosmological constant anymore.…”

Section: Introductionmentioning

confidence: 99%

Hairy black holes in scalar extended massive gravity

Tolley

Zhou

2015

Phys. Rev. D

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We construct static, spherically symmetric black hole solutions in scalar extended ghost-free massive gravity and show the existence of hairy black holes in this class of extension. While the existence seems to be a generic feature, we focus on the simplest models of this extension and find that asymptotically flat hairy black holes can exist without fine-tuning the theory parameters, unlike the bi-gravity extension, where asymptotical flatness requires fine-tuning in the parameter space. Like the bi-gravity extension, we are unable to obtain asymptotically dS regular black holes in the simplest models considered, but it is possible to obtain asymptotically AdS black holes.

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Massive Gravity Coupled to Galileons is Ghost-Free

Cited by 39 publications

References 28 publications

Beyond the cosmological standard model

Beyond the cosmological standard model

Ghost-free massive $$f(R)$$ f ( R ) theories modeled as effective Einstein spaces and cosmic acceleration

Hairy black holes in scalar extended massive gravity

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