A proposal for testing gravity's rainbow

“…Recently, a lot of interest has been generated in gravity's rainbow [42][43][44][45][46][47]. It may be noted that the rainbow functions have been constrained from experimental data [47].…”

Section: Introductionmentioning

confidence: 99%

“…It may be noted that the rainbow functions have been constrained from experimental data [47]. Black hole solutions in gravity's rainbow with nonlinear sources have been investigated in [48].…”

Section: Introductionmentioning

confidence: 99%

Charged dilatonic black holes in gravity’s rainbow

et al. 2016

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In this paper, we present charged dilatonic black holes in gravity's rainbow. We study the geometric and thermodynamic properties of black hole solutions. We also investigate the effects of rainbow functions on different thermodynamic quantities for these charged black holes in dilatonic gravity's rainbow. Then we demonstrate that the first law of thermodynamics is valid for these solutions. After that, we investigate thermal stability of the solutions using the canonical ensemble and analyze the effects of different rainbow functions on the thermal stability. In addition, we present some arguments regarding the bound and phase transition points in context of geometrical thermodynamics. We also study the phase transition in extended phase space in which the cosmological constant is treated as the thermodynamic pressure. Finally, we use another approach to calculate and demonstrate that the obtained critical points in extended phase space represent a second order phase transition for these black holes.

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“…Ali and Khalil in 2015 [25] had discussed that, the upper bound on this parameter of the rainbow function (ξ) is ξ < 8.5 × 10 21 . Substituting the value of rainbow functions f (…”

Section: Gravitational Redshift In Modified Kerr-newman Geometrymentioning

confidence: 99%

Gravitational redshift in Kerr-Newman geometry using gravity’s rainbow

Dubey

Sen

Mazumdar

2017

Astrophys Space Sci

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Gravitational redshift is generally reported by most of the authors without considering the influence of the energy of the test particle using various spacetime geometries such as Schwarzschild, Reissner-Nordstrom, Kerr and Kerr-Newman geometries for static, charged static, rotating and charged rotating objects respectively. In the present work, the general expression for the energy dependent gravitational redshift is derived for charged rotating body using the Kerr-Newman geometry along with the energy dependent gravity's rainbow function. It is found that the gravitational redshift is influenced by the energy of the source or emitter. One may obtain greater correction in the value of gravitational redshift, using the high energy photons. Knowing the value of gravitational redshift from a high energy sources such as Gamma-ray Bursters (GRB), one may obtain the idea of upper bounds on the dimensionless rainbow function parameter (ξ). Also there may be a possibility to introduce a new physical scale of the order of ξ E P l .

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A proposal for testing gravity's rainbow

Cited by 53 publications

References 46 publications

Black holes in Gauss-Bonnet gravity’s rainbow

Black holes in Gauss-Bonnet gravity’s rainbow

Charged dilatonic black holes in gravity’s rainbow

Gravitational redshift in Kerr-Newman geometry using gravity’s rainbow

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