The m→0 limit for massive graviton in dS4 and AdS4 — How to circumvent the van Dam–Veltman–Zakharov discontinuity

Kogan, Ian I.; Mouslopoulos, Stavros; Papazoglou, Antonios

doi:10.1016/s0370-2693(01)00209-x

Cited by 155 publications

(182 citation statements)

References 24 publications

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“…This result propagates to the case of gravity where it was shown that the linearized vDVZ is absent on AdS [17][18][19][20][21]. Indeed, in the limit where the AdS curvature is larger than the graviton mass m L −1 , the canonically normalized field is nowχ = Λ 3 * χ with 23) and the coupling betweenχ and matter now goes as 24) which makes the massless limit of the linearized theory well-defined already at the linear level about AdS.…”

Section: Linearized Theory On Adsmentioning

confidence: 66%

“…The decoupling of the longitudinal mode also implies that the theory is free from the standard vDVZ-discontinuity at the linearized level about these non-trivial vacua, similarly as for massive gravity on AdS [17][18][19] (or a general FLRW background [23,24]). A crucial distinction with massive gravity on AdS is that in our approach the gravitational (or geometric) sector is insensitive to the scale L in the decoupling limit and the background metric is Minkowski-like (or can be taken to be de Sitter or FLRW if the relevant cosmological constant or matter fields are included).…”

Section: Jhep04(2016)188mentioning

confidence: 96%

“…When taking the decoupling limit (1.2) we maintain the scale L −1 fixed and the resulting strong coupling scale ends up being Λ 2 dressed by some positive powers of L −1 . This scale L −1 plays a similar role as the anti-de Sitter (AdS) curvature when considering massive gravity on AdS [17][18][19][20][21]. Note however that unlike massive gravity on AdS, we will focus this discussion to the case where the spacetime curvature vanishes (at least up to order m 2 corrections).…”

Section: Jhep04(2016)188mentioning

confidence: 99%

See 2 more Smart Citations

The Λ2 limit of massive gravity

Rham

Tolley

Zhou

2016

J. High Energ. Phys.

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Lorentz-invariant massive gravity is usually associated with a strong coupling scale Λ 3 . By including non-trivial effects from the Stückelberg modes, we show that about these vacua, one can push the strong coupling scale to higher values and evade the linear vDVZ-discontinuity. For generic parameters of the theory and generic vacua for the Stückelberg fields, the Λ 2 -decoupling limit of the theory is well-behaved and free of any ghost or gradient-like instabilities. We also discuss the implications for nonlinear sigma models with Lorentzian target spaces.

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Section: Linearized Theory On Adsmentioning

confidence: 66%

Section: Jhep04(2016)188mentioning

confidence: 96%

Section: Jhep04(2016)188mentioning

confidence: 99%

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The Λ2 limit of massive gravity

Rham

Tolley

Zhou

2016

J. High Energ. Phys.

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“…However, this is slightly more involved in the nonlinear case, because we must introduce full diffeomorphism invariance. 39 Perhaps only of theoretical interest is the fact that the vDVZ discontinuity is absent in (A)dS space [675][676][677]. 40 For easy reference, we adopt the notational conventions of [262].…”

Section: Nonlinear Massive Gravitymentioning

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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“…FRW reference metric: The quadratic action (2.2) is also known to be free of the Boulware-Deser ghost instability when f µν is a de Sitter or anti de Sitter metric [15,16,17,18], or more generally, an FRW [19,20,21] metric 1 . However, consistent non-linear extensions of such quadratic actions had so far remained undetermined.…”

Section: General Structure Of Non-linear Massive Gravitymentioning

confidence: 99%

Ghost-free massive gravity with a general reference metric

Hassan

Rosen

Schmidt-May

2012

J. High Energ. Phys.

435

527

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Theories of massive gravity inevitably include an auxiliary reference metric. Generically, they also contain an inconsistency known as the Boulware-Deser ghost. Recently, a family of non-linear massive gravity actions, formulated with a flat reference metric, were proposed and shown to be ghost free at the complete non-linear level. In this paper we consider these non-linear massive gravity actions but now formulated with a general reference metric. We extend the proof of the absence of the Boulware-Deser ghost to this case. The analysis is carried out in the ADM formalism at the complete non-linear level. We show that in these models there always exists a Hamiltonian constraint which, with an associated secondary constraint, eliminates the ghost. This result considerably extends the range of known consistent non-linear massive gravity theories. In addition, these theories can also be used to describe a massive spin-2 field in an arbitrary, fixed gravitational background. We also discuss the positivity of the Hamiltonian.

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The m→0 limit for massive graviton in dS4 and AdS4 — How to circumvent the van Dam–Veltman–Zakharov discontinuity

Cited by 155 publications

References 24 publications

The Λ2 limit of massive gravity

The Λ2 limit of massive gravity

Beyond the cosmological standard model

Ghost-free massive gravity with a general reference metric

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