Thermodynamics of black holes in rainbow gravity

Banerjee, Ritwick; Biswas, Ritabrata

doi:10.48550/arxiv.1610.08090

Cited by 5 publications

(6 citation statements)

References 37 publications

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“…The present black hole remnant with the zero temperature perhaps is a more reasonable and easier to understand result. And, the zero temperature as the end point of black hole evaporation is in agreement with the results on black hole remnant by the black hole heat capacity of gravity's rainbow [34,53,54].…”

supporting

confidence: 87%

Quantum gravity effects on spectroscopy of Kerr-Newman black hole in gravity’s rainbow

Liu¹,

Tao²

2022

Commun. Theor. Phys.

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Quantum gravity effects on spectroscopy for the charged rotating gravity’s rainbow are investigated. By utilizing an action invariant obtained from particles tunneling through the event horizon, the entropy and area spectrum for the modified Kerr-Newman black hole are derived. The equally spaced entropy spectrum characteristic of Bekenstein’s original derivation is recovered. And, the entropy spectrum is independent of the energy of the test particles, although the gravity’s rainbow itself is the energy dependent. Such, the quantum gravity effects of gravity’s rainbow has no influence on the entropy spectrum. On the other hand, due to the spacetime quantum effects, the obtained area spectrum is different from the original Bekenstein spectrum. It is not equidistant and has the dependence on the horizon area. And that, by analyzing the area spectrum from a specific rainbow functions, a minimum area with Planck scale is derived for the event horizon. At this, the area quantum is zero and the black hole radiation stops. Thus, the black hole remnant for the gravity’s rainbow is obtained from the area quantization. In addition, the entropy for the modified Kerr-Newman black hole is calculated and the quantum correction to the area law is obtained and discussed.

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supporting

confidence: 87%

Quantum gravity effects on spectroscopy of Kerr-Newman black hole in gravity’s rainbow

Liu¹,

Tao²

2022

Commun. Theor. Phys.

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“…In addition, from cosmological point of view, it is possible to remove the big bang singularity by using gravity's rainbow [35][36][37][38]. Black hole thermodynamics in the presence of gravity's rainbow coupled to (non)linear electrodynamics has been discussed in literature [39][40][41]. Moreover, the effects of rainbow functions on the thermodynamics properties and phase transition of black holes have been studied in Gauss-Bonnet gravity [42], Kaluza-Klein theory [43], massive gravity [44], and F (R) theories of gravity [45,46].…”

Section: Introductionmentioning

confidence: 99%

Dilatonic black holes in gravity’s rainbow with a nonlinear source: the effects of thermal fluctuations

et al. 2017

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This paper is devoted to an investigation of nonlinearly charged dilatonic black holes in the context of gravity's rainbow with two cases: (1) by considering the usual entropy, (2) in the presence of first order logarithmic correction of the entropy. First, exact black hole solutions of dilatonic Born-Infeld gravity with an energy dependent Liouville-type potential are obtained. Then, thermodynamic properties of the mentioned cases are studied, separately. It will be shown that although mass, entropy and the heat capacity are modified due to the presence of a first order correction, the temperature remains independent of it. Furthermore, it will be shown that divergences of the heat capacity, hence phase transition points are also independent of a first order correction, whereas the stability conditions are highly sensitive to variation of the correction parameter. Except for the effects of a first order correction, we will also present a limit on the values of the dilatonic parameter and show that it is possible to recognize AdS and dS thermodynamical behaviors for two specific branches of the dilatonic parameter. In addition, the effects of nonlinear electromagnetic field and energy functions on the thermodynamical behavior of the solutions will be highlighted and dependency of critical behavior, on these generalizations will be investigated. a

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“…Within this framework, the issue of black holes and their thermodynamics has been explored by many authors in several different contexts and background theories of gravity, see for instance [22][23][24][25][26][27][28][29][30]. Inspired by the Kiselev solution [31], the case of a quantum corrected black hole surrounded by a fluid with negative equation of state parameter was analyzed in [32], where this parameter assumed constant values for different kinds of fluids. However, as raised in [33], the fact that we are dealing with modified dispersion relations (MDR) must imply that we need to consider their effects on thermodynamic quantities (leading to temperature-dependent state parameters), leading to a more subtle approach to the initial singularity issue.…”

Section: Introductionmentioning

confidence: 99%

Effects of Planck-scale-modified dispersion relations on the thermodynamics of charged black holes

et al. 2020

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Considering corrections produced by modified dispersion relations on the equation of state parameter of radiation, we study the induced the black hole metric inspired by Kiselev's ansatz, thus defining a deformed Reissner-Nordström metric. In particular, we consider thermodynamic properties of such black hole from the combined viewpoints of the modified equation of state parameter and the phenomenological approach to the quantum gravity problem called rainbow gravity.

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Thermodynamics of black holes in rainbow gravity

Cited by 5 publications

References 37 publications

Quantum gravity effects on spectroscopy of Kerr-Newman black hole in gravity’s rainbow

Quantum gravity effects on spectroscopy of Kerr-Newman black hole in gravity’s rainbow

Dilatonic black holes in gravity’s rainbow with a nonlinear source: the effects of thermal fluctuations

Effects of Planck-scale-modified dispersion relations on the thermodynamics of charged black holes

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