Superluminal vector in ghost-free massive gravity

Yu, Siqing

doi:10.1007/jhep09(2014)019

Cited by 4 publications

(4 citation statements)

References 42 publications

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“…Indeed, this has been argued to be the case [226,[690][691][692][693][694]. However, these calculations are of the classical phase velocity, so it is unclear to what extent this implies acausality in the theory [226,695].…”

Section: Galileons 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: Galileons In the Decoupling Limitmentioning

confidence: 99%

Beyond the cosmological standard model

et al. 2015

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“…This concerns in particular the issue of superluminal propagation and related causality issues discussed e.g. in [47,[64][65][66][67][68][69][70]85], and which can be seen at the level of the linearized theory and might invalidate some specific background. We refer the reader to these latter references as well as to the reviews [5,6] for further discussion of these and other potential problems of massive gravity.…”

Section: Jcap06(2015)038 7 Conclusionmentioning

confidence: 99%

“…The dRGT theories seem to suffer from other problems though, ranging from difficulties in agreeing with cosmological observations to generic instabilities, hidden strong coupling and causality issues[47,51,52,[62][63][64][65][66][67][68][69][70].…”

mentioning

confidence: 99%

Massive graviton on arbitrary background: derivation, syzygies, applications

Bernard

Deffayet

Strauss

2015

J. Cosmol. Astropart. Phys.

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We give the detailed derivation of the fully covariant form of the quadratic action and the derived linear equations of motion for a massive graviton in an arbitrary background metric (which were presented in arXiv:1410.8302 [hep-th]). Our starting point is the de Rham-Gabadadze-Tolley (dRGT) family of ghost free massive gravities and using a simple model of this family, we are able to express this action and these equations of motion in terms of a single metric in which the graviton propagates, hence removing in particular the need for a "reference metric" which is present in the non perturbative formulation. We show further how 5 covariant constraints can be obtained including one which leads to the tracelessness of the graviton on flat space-time and removes the Boulware-Deser ghost. This last constraint involves powers and combinations of the curvature of the background metric. The 5 constraints are obtained for a background metric which is unconstrained, i.e. which does not have to obey the background field equations. We then apply these results to the case of Einstein space-times, where we show that the 5 constraints become trivial, and Friedmann-Lemaître-Robertson-Walker space-times, for which we correct in particular some results that appeared elsewhere. To reach our results, we derive several non trivial identities, syzygies, involving the graviton fields, its derivatives and the background metric curvature. These identities have their own interest. We also discover that there exist backgrounds for which the dRGT equations cannot be unambiguously linearized.

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“…The full decoupling limit including the vectors was derived in Refs [39,40],. while partial results can be found in Refs [41][42][43][44]…”

mentioning

confidence: 94%

Shift-symmetric spin-1 theories

Bonifacio

Hinterbichler

Johnson

et al. 2019

J. High Energ. Phys.

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We study interacting massive spin-1 theories in de Sitter (dS) and anti-de Sitter (AdS) space that possess shift symmetries parametrized by (A)dS Killing vectors. We show how they emerge from the massless limit of massive spin-2 theories on (A)dS space. In the case of massive gravity, the corresponding spin-1 theory realizes a symmetry breaking pattern that takes two copies of the (A)dS isometry group down to a diagonal subgroup. By taking the flat space limit of this theory, we find a new symmetry of the decoupling limit of massive gravity in flat space. This symmetry acts on the vector modes, is parametrized by an antisymmetric tensor, and fixes the nonlinear structure of the scalar-vector sector of the decoupling limit.

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Superluminal vector in ghost-free massive gravity

Cited by 4 publications

References 42 publications

Beyond the cosmological standard model

Beyond the cosmological standard model

Massive graviton on arbitrary background: derivation, syzygies, applications

Shift-symmetric spin-1 theories

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