A Zeroth Law Compatible Model to Kerr Black Hole Thermodynamics

Czinner, Viktor G.; Iguchi, Hideo

doi:10.3390/universe3010014

Cited by 17 publications

(13 citation statements)

References 39 publications

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“…The corresponding thermodynamic and stability problems (by also applying the formal logarithm method) has been studied in [72] and [73], respectively.…”

Section: Discussionmentioning

confidence: 99%

Thermodynamics, stability and Hawking–Page transition of Kerr black holes from Rényi statistics

Czinner

Iguchi

2017

Eur. Phys. J. C

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Thermodynamics of rotating black holes described by the Rényi formula as equilibrium and zeroth law compatible entropy function is investigated. We show that similarly to the standard Boltzmann approach, isolated Kerr black holes are stable with respect to axisymmetric perturbations in the Rényi model. On the other hand, when the black holes are surrounded by a bath of thermal radiation, slowly rotating black holes can also be in stable equilibrium with the heat bath at a fixed temperature, in contrast to the Boltzmann description. For the question of possible phase transitions in the system, we show that a HawkingPage transition and a first order small black hole/large black hole transition occur, analogous to the picture of rotating black holes in AdS space. These results confirm the similarity between the Rényi-asymptotically flat and Boltzmann-AdS approaches to black hole thermodynamics in the rotating case as well. We derive the relations between the thermodynamic parameters based on this correspondence.

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“…The corresponding thermodynamic and stability problems (by also applying the formal logarithm method) has been studied in [72] and [73], respectively.…”

Section: Discussionmentioning

confidence: 99%

Thermodynamics, stability and Hawking–Page transition of Kerr black holes from Rényi statistics

Czinner

Iguchi

2017

Eur. Phys. J. C

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“…The cornerstone behind these models underlies for the implementation of Tsallis statistics to the horizon structure [22,23]. More precisely, the Tsallis entropy [24] is useful for understanding strongly correlated system of elements (gravitational and cosmological system) in the context of generalized statistical mechanics [25][26][27]. Tsallis and Citro established the fact that Bekenstein entropy is not the only sequel of Tsallis statistics execution for the system.…”

Section: Introductionmentioning

confidence: 99%

Tsallis Holographic Dark Energy in f(G,T) Gravity

Sharif

Saba

2019

Symmetry

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In this paper, we study the reconstruction paradigm for Tsallis holographic dark energy model using generalized Tsallis entropy conjecture with Hubble horizon in the framework of f ( G , T ) gravity (G and T represent the Gauss-Bonnet invariant and trace of the energy-momentum tensor). We take the flat Friedmann-Robertson-Walker universe model with dust fluid configuration. The cosmological evolution of reconstructed models is examined through cosmic diagnostic parameters and phase planes. The equation of the state parameter indicates phantom phase while the deceleration parameter demonstrates accelerated cosmic epoch for both conserved as well as non-conserved energy-momentum tensor. The squared speed of the sound parameter shows instability of the conserved model while stable non-conserved model for the entire cosmic evolutionary paradigm. The trajectories of the ω G T - ω G T ′ plane correspond to freezing as well as thawing regimes for the conserved and non-conserved scenario, respectively. The r - s plane gives phantom and quintessence dark energy epochs for conserved while Chaplygin gas model regime for the non-conserved case. We conclude that, upon the appropriate choice of the free parameters involved, the derived models demonstrate a self-consistent phantom universe behavior.

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“…Hence putting E = 1 we perform a first order series expansion of the square root in Eq. (19) and obtain the standard general relativistic equation…”

Section: Perihelion Precessionmentioning

confidence: 99%

“…The value of x 0 is obtained by solving the nonlinear algebraic equation Eq. (19) numerically which depends on the parameters λ 0 and β 0 . In general this equation has many roots for different parametric values of λ 0 and β 0 , but we shall concentrate only on the positive values of x 0 which are close to x GR 0 ≈ b 2 .…”

Section: Perihelion Precessionmentioning

confidence: 99%

Solar system tests in constraining parameters of dyon black holes

Rahaman¹,

Molla²,

Ali³

et al. 2018

Eur. Phys. J. C

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In the present paper we examine the possibility of constraining dyon black holes based on the available observational data at the scale of the Solar system. For this we consider the classical tests of general relativity, viz., the perihelion precession of the planet Mercury and the deflection of light by the Sun. In connection to mathematical analysis we are considering static and spherically symmetric dyon black hole which carries both the electric and magnetic charge simultaneously, which are encoded it by the parameters λ 0 and β 0 . We constrain these two parameters using the Solar system tests and obtain the permissible range from theoretical analysis based on our model and later on compare them with the available observational data.

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A Zeroth Law Compatible Model to Kerr Black Hole Thermodynamics

Cited by 17 publications

References 39 publications

Thermodynamics, stability and Hawking–Page transition of Kerr black holes from Rényi statistics

Thermodynamics, stability and Hawking–Page transition of Kerr black holes from Rényi statistics

Tsallis Holographic Dark Energy in f(G,T) Gravity

Solar system tests in constraining parameters of dyon black holes

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