Massive gravity: a general analysis

Comelli, Denis; Nesti, Fabrizio; Pilo, Luigi

doi:10.1007/jhep07(2013)161

Cited by 61 publications

(120 citation statements)

References 53 publications

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“…If one wants to compare the conditions imposed on the potential in Refs. [21,37] and in the present work, it is easy to see the difference. Our second axiom is absent in their scheme.…”

Section: Resultssupporting

confidence: 41%

“…At last, work by Comelli et al [21,37] seems most important for us. This group has independently started a study of massive gravity (they do not consider the bigravity case, which is a main object of our work) with the potential of a general form and we have been able to compare our preliminary results with those announced in Ref.…”

Section: Resultsmentioning

confidence: 99%

“…[21]. A detailed presentation [37] has appeared after submission of this work. If one wants to compare the conditions imposed on the potential in Refs.…”

Section: Resultsmentioning

confidence: 99%

“…Comelli, Nesti, Pilo [21,23,37] pay their attention to massive gravity case and Kluson [20,34,35] concentrates on the bigravity. As each group uses a lot of their own notations we think it would be useful to have dictionaries to translate between them.…”

Section: Dictionarymentioning

confidence: 99%

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Bigravity in Kuchar̆’s Hamiltonian formalism: The special case

Soloviev

Tchichikina

2013

Phys. Rev. D

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It is proved, that, in order to avoid the ghost mode in bigravity theory, it is sufficient to impose four conditions on the potential of interaction of the two metrics. First, the potential should allow its expression as a function of components of the two metrics' 3+1-decomposition. Second, the potential must satisfy the first order linear differential equations which are necessary for the presence of four first class constraints in bigravity. Third, the potential should be a solution of the Monge-Ampère equation, where the lapse and shift are considered as variables. Fourth, the potential must have a nondegenerate Hessian in the shift variables. The proof is based on the explicit derivation of the Hamiltonian constraints, the construction of Dirac brackets on the base of a part of these constraints, and calculation of other constraints' algebra in these Dirac brackets. As a byproduct, we prove that these conditions are also sufficient in the massive gravity case.

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“…If one wants to compare the conditions imposed on the potential in Refs. [21,37] and in the present work, it is easy to see the difference. Our second axiom is absent in their scheme.…”

Section: Resultssupporting

confidence: 41%

Section: Resultsmentioning

confidence: 99%

“…[21]. A detailed presentation [37] has appeared after submission of this work. If one wants to compare the conditions imposed on the potential in Refs.…”

Section: Resultsmentioning

confidence: 99%

Section: Dictionarymentioning

confidence: 99%

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Bigravity in Kuchar̆’s Hamiltonian formalism: The special case

Soloviev

Tchichikina

2013

Phys. Rev. D

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“…In the unitary gauge, in which the scalar fields themselves ϕ A are used as coordinates of the spacetime, all the perturbations are shifted to the metric and the dynamics of self-gravitating media is equivalent [8,5] to rotational invariant massive gravity [16,6,17]. The parameters M α are related to the possible mass terms of the metric fluctuations h 00 , h 0i and h i j .…”

mentioning

confidence: 99%

Cosmology of self-gravitating media

Pilo¹

2017

Proceedings of the European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2017)

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The low-energy dynamics of a generic self-gravitating medium can be studied by using effective field theory (EFT) in terms of four derivatively coupled scalar fields. Imposing SO(3) internal spatial invariance, the theory describes fluids, superfluids, solids and supersolids. Dynamical and thermodynamical properties of the medium are dictated by internal symmetries of the effective theory. From the analysis of cosmological perturbations it emerges that in the scalar sector, besides the gravitational potential, there is a non-adiabatic mode corresponding to the perturbations of the entropy per particle σ . Perfect fluids and solids are adiabatic with σ constant in time, while for superfluids and supersolids σ has non-trivial dynamics. Tensor perturbations are massive for solids and supersolids. Such an effective approach can be used to give a very general modelling of the dark sector based on symmetries.

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Hairy Black Holes in Theories with Massive Gravitons

Volkov

2014

Modifications of Einstein's Theory of Gravity at Large Distances

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This is a brief survey of the known black hole solutions in the theories of ghost-free bigravity and massive gravity. Various black holes exist in these theories, in particular those supporting a massive graviton hair. However, it seems that solutions which could be astrophysically relevant are the same as in General Relativity, or very close to them. Therefore, the nohair conjecture essentially applies, and so it would be hard to detect the graviton mass by observing black holes.

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Massive gravity: a general analysis

Cited by 61 publications

References 53 publications

Bigravity in Kuchar̆’s Hamiltonian formalism: The special case

Bigravity in Kuchar̆’s Hamiltonian formalism: The special case

Cosmology of self-gravitating media

Hairy Black Holes in Theories with Massive Gravitons

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