Interacting spin-2 fields

Hinterbichler, Kurt; Rosen, Rachel A.

doi:10.1007/jhep07(2012)047

Cited by 298 publications

(637 citation statements)

References 60 publications

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“…However, it has been clearly demonstrated that the full nonlinear theory is free of the Boulware-Deser ghost to all orders beyond the decoupling limit. This has been shown by various authors both from a direct canonical analysis in ADM variables [634,655,[696][697][698][699][700] and in the Stückelberg and helicity language [701][702][703][704]. While this guarantees that the theory propagates only 5 degrees of freedom, even non-linearly, it nevertheless remains possible for one or more of these 5 physical modes to become ghostly around particular backgrounds, providing further constraints on the theory.…”

Section: Freedom From Ghostsmentioning

confidence: 83%

“…Much work has gone into studying this massive gravity theory: for example studies of cosmological solutions [635][636][637][638][639][640][641][642][643][644][645][646] and black holes [638,[647][648][649][650][651][652] have been undertaken. The theory can also be cast in a vielbein language, as opposed to as a theory of a metric [216,[653][654][655][656][657]. Further, it has been realized that the dRGT construction opens the door to building theories with multiple interacting spin-2 particles [655,658].…”

Section: A Brief History Of Massive Gravitymentioning

confidence: 99%

“…The theory can also be cast in a vielbein language, as opposed to as a theory of a metric [216,[653][654][655][656][657]. Further, it has been realized that the dRGT construction opens the door to building theories with multiple interacting spin-2 particles [655,658]. In what follows, we will consider Lorentz invariant theories of massive gravity, but much work has been done on Lorentz violating theories [659][660][661][662][663][664][665][666][667][668][669][670][671][672][673][674].…”

Section: A Brief History Of Massive Gravitymentioning

confidence: 99%

“…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]).…”

Section: Self-accelerating Solutions In the Decoupling Limitmentioning

confidence: 99%

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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: Freedom From Ghostsmentioning

confidence: 83%

Section: A Brief History Of Massive Gravitymentioning

confidence: 99%

Section: A Brief History Of Massive Gravitymentioning

confidence: 99%

Section: Self-accelerating Solutions In the Decoupling Limitmentioning

confidence: 99%

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Beyond the cosmological standard model

et al. 2015

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“…The reasoning presented here is simple and straightforward enough that it can be easily generalized to any number of dimensions and to theories with multiple spin-2 fields [34,35].…”

Section: Determination Of the Partially Massless Bimetric Theorymentioning

confidence: 99%

On partially massless bimetric gravity

2013

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Abstract:We extend the notion of the Higuchi bound and partial masslessness to ghostfree nonlinear bimetric theories. This can be acheived in a simple way by first considering linear massive spin-2 perturbations around maximally symmetric background solutions, for which the linear gauge symmetry at the Higuchi bound is easily identified. Then, requiring consistency between an appropriate subset of these transformations and the dynamical nature of the backgrounds, fixes all but one parameter in the bimetric interaction potential. This specifies the theory upto the value of the Fierz-Pauli mass and leads to the unique candidate for nonlinear partially massless bimetric theory.

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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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Interacting spin-2 fields

Cited by 298 publications

References 60 publications

Beyond the cosmological standard model

Beyond the cosmological standard model

On partially massless bimetric gravity

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

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