On partially massless bimetric gravity

Hassan, S. F.; Schmidt-May, Angnis; Strauss, Mikael von

doi:10.1016/j.physletb.2013.09.021

Cited by 81 publications

(168 citation statements)

References 63 publications

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“…A further enticing possibility is that a particular choice of the potential terms could lead to an extra gauge symmetry about de Sitter space, leading to a theory of partially massless gravity [751,752]. This possibility has been explored [753][754][755][756][757], but it is not clear whether such a theory exists nonlinearly [757][758][759].…”

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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“…In this paper we will work mostly with this Hassan-Rosen bimetric theory. For related work, see [40][41][42][43][44][45][46][47][48][49][50][51][52].…”

Section: Background To Bimetric Theoriesmentioning

confidence: 99%

“…The vielbein description is elegant and was very convenient for showing the absence of the Boulware-Deser ghosts. For further work, see [25].…”

Section: Generalization To More Than One Massive Fieldmentioning

confidence: 99%

“…This issue is addressed in the metric formulation of the multivielbein action (6.1) that was obtained, and argued to remain ghost-free, in [25]. In this setup, the non-dynamical fields are isolated from the spin-2 content in a generally covariant way without solving any equations of motion, making it appropriate for the considerations here.…”

Section: Generalization To More Than One Massive Fieldmentioning

confidence: 99%

“…More recently, this was extended to ghost-free theories of many spin-2 fields in terms of N vielbeins [24], while a formulation in terms of N metrics is given in [25]. 1 In the ghost-free bimetric theory [17], a priori, the two spin-2 fields g µν and f µν appear more or less on the same footing.…”

Section: Introduction Motivation and Summarymentioning

confidence: 99%

See 2 more Smart Citations

On consistent theories of massive spin-2 fields coupled to gravity

Hassan

Schmidt-May

Strauss

2013

J. High Energ. Phys.

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123

177

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We consider the issues that arise out of interpreting the ghost-free bimetric theory as a theory of a spin-2 field coupled to gravity. This requires identifying a gravitational metric and parameterizing deviations of the resulting theory from general relativity. To this end, we first consider the most general bimetric backgrounds for which a massless and a massive spin-2 fluctuation exist, and we compute the most general expression for the Fierz-Pauli mass. These backgrounds coincide with solutions in general relativity. Based on this, we obtain nonlinear extensions of the massive and massless spin-2 fields. The background value of the nonlinear massive field parameterizes generic deviations of the bimetric theory from GR. It is also shown that the most natural nonlinear massless field does not have standard ghost-free matter couplings, and hence cannot represent the gravitational metric. However, an appropriate gravitational metric can still be identified in the weak gravity limit. Hence in the presence of other neutral spin-2 fields, the weak gravity limit is crucial for compatibility with general relativity. We also write down the action in terms of the nonlinear massive spin-2 field and obtain its ghost-free couplings to matter. The discussion is then generalized to multimetric theories.

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Ghost‐Free Completion of An Effective Matter Coupling in Bimetric Theory

Lüben

Schmidt-May

2018

Fortschritte der Physik

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We consider a particular set of ghost‐free interactions for three spin‐2 fields in which we freeze out the dynamics of the metric tensor that couples to the matter sector. Integrating out the non‐dynamical degrees of freedom in vacuum results in a ghost‐free bimetric theory. In the presence of the matter source, which we treat as a small perturbation, the equations for the non‐dynamical field can be solved perturbatively for its vierbein. This results in ghost‐free bimetric theory in vierbein formulation with a modified matter coupling. To lowest order in matter perturbations, we precisely obtain an effective matter coupling that has been suggested earlier in the literature. This coupling contains a linear combination of the two vierbeine whose corresponding metric fluctuation coincides with the massless spin‐2 mode. In the past, bimetric theory with this symmetric coupling has been treated as an effective theory valid at low energies without a ghost‐free completion. Our results demonstrate that the effective matter coupling can be rendered entirely ghost‐free by including the higher‐order corrections obtained from the trimetric setup.

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On partially massless bimetric gravity

Cited by 81 publications

References 63 publications

Beyond the cosmological standard model

Beyond the cosmological standard model

On consistent theories of massive spin-2 fields coupled to gravity

Ghost‐Free Completion of An Effective Matter Coupling in Bimetric Theory

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