Visser’s massive graviton bimetric theory revisited

Roany, Alain de; Chauvineau, Bertrand; Pacheco, J. A. de Freitas

doi:10.1103/physrevd.84.084043

Cited by 6 publications

(10 citation statements)

References 32 publications

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“…In this respect, there is a particular choice for the background metric that relates it to the physical metric by a position-independent rescaling, namely, a positive constant D 2 (such as in Refs. [23,24])…”

Section: B Friedmann Equations and Energy Conditions In The Bimetricmentioning

confidence: 99%

“…However, in Ref. [23], de Roany et al have pointed out that the Visser massive graviton tensor must be corrected by a factor equal to the square root of the ratio of the determinants of the background and of the dynamical metrics. They claimed that a multiplicative factor is missing in the graviton tensor originally derived by Visser, which has no consequences on the weak field approach but becomes important in the strong field regime when, for instance, cosmological applications are considered.…”

Section: Introductionmentioning

confidence: 99%

“…In this work, we present the ECs and use them to constrain, in the cosmological scenario, the extra effective term (working as a cosmological constant), and also the bimetric massive gravity theories that come from the recent approaches by de Roany et al [23] (Visser's Lagrangian) and Baccetti et al [24] (Hassan and Rosen's Lagrangian). Here we introduce a different idea, instead of simply testing the ECs, we assume that the remaining matter content (baryons, photons, neutrinos, cold dark matter, etc) fulfills the ECs.…”

Section: Introductionmentioning

confidence: 99%

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Cosmological constant constraints from observation-derived energy condition bounds and their application to bimetric massive gravity

et al. 2018

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Among the various possibilities to probe the theory behind the recent accelerated expansion of the universe, the energy conditions (ECs) are of particular interest, since it is possible to confront and constrain the many models, including different theories of gravity, with observational data. In this context, we use the ECs to probe any alternative theory whose extra term acts as a cosmological constant. For this purpose, we apply a model-independent approach to reconstruct the recent expansion of the universe. Using Type Ia supernova, baryon acoustic oscillations and cosmic-chronometer data, we perform a Markov Chain Monte Carlo analysis to put constraints on the effective cosmological constant Ω 0 eff . By imposing that the cosmological constant is the only component that possibly violates the ECs, we derive lower and upper bounds for its value. For instance, we obtain that 0.59 < Ω 0 eff < 0.91 and 0.40 < Ω 0 eff < 0.93 within, respectively, 1σ and 3σ confidence levels. In addition, about 30% of the posterior distribution is incompatible with a cosmological constant, showing that this method can potentially rule it out as a mechanism for the accelerated expansion. We also study the consequence of these constraints for two particular formulations of the bimetric massive gravity. Namely, we consider the Visser's theory and the Hassan and Roses's massive gravity by choosing a background metric such that both theories mimic General Relativity with a cosmological constant. Using the Ω 0 eff observational bounds along with the upper bounds on the graviton mass we obtain constraints on the parameter spaces of both theories.

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Section: B Friedmann Equations and Energy Conditions In The Bimetricmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Cosmological constant constraints from observation-derived energy condition bounds and their application to bimetric massive gravity

et al. 2018

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“…The difficulty with the possible Hamiltonian formulation of given theory is that the action depends on the kinetic 1 For recent review and extensive list of references, see [2]. 2 For related works, see [6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,43].…”

Section: Introductionmentioning

confidence: 99%

Note About Hamiltonian Formalism for General Nonlinear Massive Gravity Action in Stückelberg Formalism

Klusoň

2013

Int. J. Mod. Phys. A

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In this note we try to prove the absence of the ghosts in case of the general non-linear massive gravity action in Stückelberg formalism. We argue that in order to find the explicit form of the Hamiltonian it is natural to start with the general non-linear massive gravity action found in arXiv:1106.3344 [hep-th]. We perform the complete Hamiltonian analysis of the Stückelberg form of the minimal the non-linear gravity action in this formulation and show that the constraint structure is so rich that it is possible to eliminate non-physical modes. Then we extend this analysis to the case of the general non-linear massive gravity action. We find the corresponding Hamiltonian and collection of the primary constraints. Unfortunately we are not able to finish the complete analysis of the stability of all constraints due to the complex form of one primary constraint so that we are not able to determine the conditions under which given constraint is preserved during the time evolution of the system.

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“…33 For the scalar-field ghost condensation as an alternative to DM in the context of the Universe cf, e.g., [53]. 34 It goes without saying that UBG could a priori admit, if desired, an arbitrary infrared modification of the kinetic Lagrangians both for the tensor and scalar modes. Presently such modifications are left aside.…”

Section: 31mentioning

confidence: 99%

Unimodular bimode gravity and the coherent scalar-graviton field as galaxy dark matter

Pirogov¹

2012

Eur. Phys. J. C

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The explicit violation of the general gauge invariance/relativity is adopted as the origin of dark matter and dark energy of the gravitational nature. The violation of the local scale invariance alone, with the residual unimodular one, is considered. Besides the four-volume preserving deformation mode -the transverse-tensor graviton -the metric comprises a compression mode -the scalar graviton, or the systolon. A unimodular invariant and general covariant metric theory of the bimode/scalartensor gravity is consistently worked out. To reduce the primordial ambiguity of the theory a dynamical global symmetry is imposed, with its subsequent spontaneous breaking revealed. The static spherically symmetric case in the empty, but possibly for the origin, space is studied. A three-parameter solution describing a new static space structure -the dark lacuna -is constructed. It enjoys the property of gravitational confinement, with the logarithmic potential of gravitational attraction at the periphery, and results in the asymptoticaally flat rotation curves. Comprising a super-massive dark fracture (a scalar-modified black hole) at the origin surrounded by a cored dark halo, the dark lacunas are proposed as a prototype model of galaxies, implying an ultimate account for the distributed non-gravitational matter and a putative asphericity or rotation.

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Visser’s massive graviton bimetric theory revisited

Cited by 6 publications

References 32 publications

Cosmological constant constraints from observation-derived energy condition bounds and their application to bimetric massive gravity

Cosmological constant constraints from observation-derived energy condition bounds and their application to bimetric massive gravity

Note About Hamiltonian Formalism for General Nonlinear Massive Gravity Action in Stückelberg Formalism

Unimodular bimode gravity and the coherent scalar-graviton field as galaxy dark matter

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