The thermodynamics and phase transition of a rainbow black hole

Feng, Zhong-Wen; Tang, De-Ling; Feng, Dan-Dan

doi:10.1142/s0217732320500108

Cited by 11 publications

(5 citation statements)

References 76 publications

(67 reference statements)

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“…In another vein, in [60] the momentum dependency arises from the energy of the particle emitted by the Hawking radiation. Moreover, the energy scale of the modification of Hawking radiation was taken to be the inverse of the Schwarzschild radius in [61][62][63][64][65][66][67][68][69]. In all these scenarios, it was shown that the new physics could lead to a remnant mass, i.e., prevent the black hole from fully evaporating.…”

Section: Introductionmentioning

confidence: 99%

Black Hole Surface Gravity in Doubly Special Relativity Geometries

Relancio

Liberati

2022

Universe

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In a quantum gravity theory, spacetime at mesoscopic scales can acquire a novel structure very different from the classical concept of general relativity. A way to effectively characterize the quantum nature of spacetime is through a momentum dependent space-time metric. There is a vast literature showing that this geometry is related to relativistic deformed kinematics, which is precisely a way to capture residual effects of a quantum gravity theory. In this work, we study the notion of surface gravity in a momentum dependent Schwarzschild black hole geometry. We show that using the two main notions of surface gravity in general relativity we obtain a momentum independent result. However, there are several definitions of surface gravity, all of them equivalent in general relativity when there is a Killing horizon. We show that in our scheme, despite the persistence of a Killing horizon, these alternative notions only agree in a very particular momentum basis, obtained in a previous work, so further supporting its physical relevance.

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Section: Introductionmentioning

confidence: 99%

Black Hole Surface Gravity in Doubly Special Relativity Geometries

Relancio

Liberati

2022

Universe

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“…Furthermore, in [52][53][54][55][56][57][58][59][60][61][62], the authors found that the RG changes the picture of phase structures and critical phenomena. Consequently, due to the effect of RG, we showed that the thermodynamics and the phase transition of the SC black hole in a cavity are similar to those of the R-N AdS black hole, which is quite different from the conclusion in [63][64][65]. According to the discussions above, a question arises: what are the thermodynamics and the phase structures of the SC black hole (i.e.…”

Section: Introductionmentioning

confidence: 65%

Quantum corrections to the thermodynamics and phase transition of a black hole surrounded by a cavity in the extended phase space

Feng¹,

Zhou²,

Zhou³

et al. 2022

Commun. Theor. Phys.

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In the extended phase space, we investigate the rainbow gravity-corrected thermodynamic phenomena and phase structure of a Schwarzschild black hole surrounded by a spherical cavity. The results show that rainbow gravity has a very significant effect on the thermodynamic phenomena and phase structure of the black hole. It prevents the black hole from total evaporation and leads to a remnant with a limited temperature but no mass. Additionally, we restored the $P-V$ criticality and obtained the critical quantities of the canonical ensemble. When the temperature or pressure is smaller than the critical quantities, the system undergoes two Hawking-Page-like phase transitions and one first-order phase transition, which never occurs in the original case. Remarkably, our findings demonstrate that the thermodynamic behavior and phase transition of the rainbow SC black hole surrounded by a cavity in the extended phase space are analogous to those of the Reissner-Nordstr\"{o}m anti-de Sitter black hole. Therefore, rainbow gravity activates the effect of electric charge and cutoff factor in the evolution of the black hole.

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“…Here, we start from a general modified dispersion relation in the context of doubly special relativity (DSR) [29][30][31][32]]…”

Section: Impactsmentioning

confidence: 99%

Bouncing universe in a heat bath

Filho,

Petrov

2021

Preprint

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We develop a thermal description to photon modes within the context of bouncing universe. To do so, we start with a Lorentz-breaking dispersion relation which accounts for modified Friedmann equations with a bounce solution. We calculate the spectral radiance, the entropy, the Helmholtz free energy, the heat capacity, and the mean energy. Nevertheless, the latter two ones turn out to contribute only in a trivial manner. More so, all the results are derived analytically and three different regimes of temperature of the universe are also considered, i.e., the inflationary era, the electroweak epoch and the cosmic microwave background.

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The thermodynamics and phase transition of a rainbow black hole

Cited by 11 publications

References 76 publications

Black Hole Surface Gravity in Doubly Special Relativity Geometries

Black Hole Surface Gravity in Doubly Special Relativity Geometries

Quantum corrections to the thermodynamics and phase transition of a black hole surrounded by a cavity in the extended phase space

Bouncing universe in a heat bath

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