Ghost-free massive gravity with a general reference metric

Hassan, S. F.; Rosen, Rachel A.; Schmidt-May, Angnis

doi:10.1007/jhep02(2012)026

Cited by 435 publications

(531 citation statements)

References 58 publications

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“…The nonlinear analysis that can answer the above questions was developed in [20,21] based on the formalism of [19]. In [20], for the case f µν = η µν , it was proven that the dRGT model was ghost-free at the nonlinear level.…”

Section: Background To Bimetric Theoriesmentioning

confidence: 99%

“…This conclusively established the absence of the BD ghost for the first time. The theory with generic non-flat f µν was considered first in [21] and also proven to be ghost-free nonlinearly. This generic f µν theory provides the most natural setup for discussing massive gravity.…”

Section: Background To Bimetric Theoriesmentioning

confidence: 99%

“…That it was ghost-free nonlinearly was proven in [20]. The theories with general and dynamical f µν where first considered and shown to be ghost-free in [17][18][19]21]. The square root matrix X = g −1 f in V is necessary to avoid the ghost, but also complicates the analysis.…”

Section: Review Of the Ghost-free Bimetric Theorymentioning

confidence: 99%

“…The bimetric theories that avoid this problem were written down and proven to be ghost-free in [17,18]. This was based on [19][20][21] that further developed the massive gravity work in [22,23], as will be briefly reviewed below.…”

Section: Introduction Motivation and Summarymentioning

confidence: 99%

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

Hassan

Schmidt-May

Strauss

2013

J. High Energ. Phys.

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125

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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Section: Background To Bimetric Theoriesmentioning

confidence: 99%

Section: Background To Bimetric Theoriesmentioning

confidence: 99%

Section: Review Of the Ghost-free Bimetric Theorymentioning

confidence: 99%

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.

Self Cite

125

177

View full text Add to dashboard Cite

show abstract

“…However, the nonlinear analysis of [18] could be used to prove that massive gravity with generic non-dynamical reference metric f µν [19] was ghost-free at the completely non-linear level [20]. Finally the bimetric theory was obtained and proven to be ghost-free in [21,22].…”

Section: Introductionmentioning

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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Phase transition of charged black holes in massive gravity through new methods

et al. 2016

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Motivated by providing preliminary steps to understand the conception of quantum gravity, in this paper, we study the phase structure of a semiclassical gravitational system. We investigate the stability conditions and phase transition of charged black holes in massive gravity via canonical and geometrical thermodynamic approaches. We point out the effects of massive parameter on stability conditions of these black holes and show how massive coefficients affect the phase transition points of these black holes. We also study the effects of boundary topology on thermodynamical behavior of the system. In addition, we give some arguments regarding the role of higher dimensions and highlight the effect of the electric charge in thermodynamical behavior. Then, we extend our study to geometrical thermodynamic approach and show that it can be a successful method for studying the black hole phase transition. At last, by employing the relation between thermodynamical pressure and cosmological constant, critical behavior of the system and the effects of different parameters on critical values are investigated.

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Ghost-free massive gravity with a general reference metric

Cited by 435 publications

References 58 publications

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

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

On partially massless bimetric gravity

Phase transition of charged black holes in massive gravity through new methods

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