Black holes in Gauss-Bonnet gravity’s rainbow

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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“…Now using the expressions (19) and (47), one can write the expression of gravitational redshift (Z K−N ) in Kerr-Newman geometry as:…”

Section: Gravitational Redshift In Kerr-newman Geometrymentioning

confidence: 99%

“…In gravity's rainbow theory, the modified energy-momentum dispersion relation is discussed by various authors (as [19]). In gravity's rainbow theory, the modified energymomentum dispersion relation is given as:…”

Section: Modified Spacetime Geometry In Gravity's Rainbowmentioning

confidence: 99%

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

Dubey

Sen

Mazumdar

2017

Astrophys Space Sci

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“…In this formalism, the connection and curvature depend on energy in such a way that the usual Einstein's equations is replaced by a one parameter family of equations. In this context, the Gauss-Bonnet and dilaton gravities were generalized to energy-dependent Gauss-Bonnet and dilatonic theories of gravity and their black hole solutions were studied [40,41]. Recently, the critical behavior of uncharged and charged black holes in Gauss-Bonnet gravity's rainbow was analyzed and it was found that the generalization to a charged case puts an energy dependent restriction on different parameters [42].…”

Section: Introductionmentioning

confidence: 99%

Charged BTZ black holes in the context of massive gravity’s rainbow

et al. 2017

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BTZ black holes are excellent laboratories for studying black hole thermodynamics which is a bridge between classical general relativity and quantum nature of gravitation. In addition, threedimensional gravity could have equipped us for exploring some of the ideas behind the two dimensional conformal field theory based on the AdS3/CF T2. Considering the significant interests in these regards, we examine charged BTZ black holes. We consider the system contains massive gravity with energy dependent spacetime to enrich the results. In order to make high curvature (energy) BTZ black holes more realistic, we modify the theory by energy dependent constants. We investigate thermodynamic properties of the solutions by calculating heat capacity and free energy. We also analyze thermal stability and study the possibility of Hawking-Page phase transition. At last, we study geometrical thermodynamics of these black holes and compare the results of various approaches.

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“…In recent years, the effects of gravity's rainbow have been investigated in the context of black hole thermodynamics in the literature [24][25][26][27]. The modification in the thermodynamics of black rings and other black objects in the context of gravity's rainbow has been investigated in [28,29].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic instability of nonlinearly charged black holes in gravity’s rainbow

et al. 2016

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Motivated by the violation of Lorentz invariance in quantum gravity, we study black hole solutions in gravity's rainbow in the context of Einstein gravity coupled with various models of nonlinear electrodynamics. We regard an energy dependent spacetime and obtain the related metric functions and electric fields. We show that there is an essential singularity at the origin which is covered by an event horizon. We also compute the conserved and thermodynamical quantities and examine the validity of the first law of thermodynamics in the presence of rainbow functions. Finally, we investigate the thermal stability conditions for these black hole solutions in the context of canonical ensemble. We show that the thermodynamical structure of the solutions depends on the choices of nonlinearity parameters, charge, and energy functions.

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Black holes in Gauss-Bonnet gravity’s rainbow

Cited by 89 publications

References 36 publications

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

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

Charged BTZ black holes in the context of massive gravity’s rainbow

Thermodynamic instability of nonlinearly charged black holes in gravity’s rainbow

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