The Entropy Inside a Charged Black Hole Under Hawking Radiation

Han, Shan-Zhong; Yang, Jian-Zhi; Wang, Xin-Yang; Liu, Wenbiao

doi:10.1007/s10773-018-3856-6

Cited by 11 publications

(6 citation statements)

References 20 publications

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“…In this respect, the consequence is consistent with those in Refs. [11,14,[39][40][41][42][43][44][45], where the entropy of the massless scalar field inside the black hole was calculated using statistical thermodynamics method.…”

Section: Discussionmentioning

confidence: 99%

Interior volume of Banados–Teitelboim–Zanelli black hole

Zhang

2019

Physics Letters B

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Section: Discussionmentioning

confidence: 99%

Interior volume of Banados–Teitelboim–Zanelli black hole

Zhang

2019

Physics Letters B

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“…The corresponding CR-volume can become surprisingly large, it scales as V ∼ M 5 when the thermal property of the Hawking radiation is taken into account. Soon after this definition, the CR approach has been extended to rotating black holes [17,18], and it also motivated several authors to calculate the entropy corresponding to a black hole with volume [19][20][21][22][23], and investigate the role of the volume in their thermodynamic behavior [24][25][26][27]. These investigations, however, mainly consider the contribution of a hypothetic scalar field, filling the interior volume, to the Bekenstein-Hawking result.…”

Section: Introductionmentioning

confidence: 99%

Volume dependent extension of Kerr-Newman black hole thermodynamics

et al. 2020

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Regarding the entropy of charged and rotating Kerr-Newman black holes also as a function of the volume enclosed by the event horizon, S = S(M, Q, J, V ), we investigate the thermodynamic properties, in particular the stability problem of the system in standard four dimensions. By imposing the physical conditions of Euler homogeneity and a Stefan-Boltzmann radiation like equation of state at the horizon, we show that the thermodynamic volume scales as V ∼ M 5 , in agreement with the Christodoulou-Rovelli definition, and the system is thermally stable under these conditions.

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“…Subsequently, using this method, the entropy of quantum field modes in the interior volume of a high-dimensional Schwarzschild black hole, a Reissner-Nordstrm black hole and a Kerr black hole has been calculated in Refs. [5][6][7].…”

Section: Introductionmentioning

confidence: 99%

“…In the previous works [4][5][6][7], all the particles radiated from the black hole are uncharged and without angular momentum during Hawking radiation. However, this treatment oversimplifies the process of black hole evaporation, and the extremal black hole will appear and stop the evaporation process in the end technically because of cosmic censorship conjecture.…”

Section: Introductionmentioning

confidence: 99%

Hawking radiation with angular momentum and the entropy variation in a Kerr black hole

Wang

Liu

2019

Eur. Phys. J. C

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Considering Hawking radiation with angular momentum, we propose a modified Stefan-Boltzmann law about the particles with both energy and angular momentum radiated from a Kerr black hole. Based on the modified Stefan-Boltzmann law, we calculate the entropy in the interior volume of the Kerr black hole and investigate the proportional relation between the variation of this entropy and the variation of Bekenstein-Hawking entropy under Hawking radiation. Comparing to Hawking radiation without angular momentum, we find that whether the particles radiated from the black hole take angular momentum cannot affect the proportional relation between the two types of entropy. Furthermore, the proportionality coefficient of the two types of entropy is investigated. It is found that this coefficient is approximately a constant except the late stage of Hawking radiation. Moreover, the proportional relation can degenerate to the Schwarzschild case when the angular momentum of the black hole completely disappears. For a Kerr black hole, the extremal black hole can technically not prevent and stop the evaporation anymore under Hawking radiation with angular momentum.

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The Entropy Inside a Charged Black Hole Under Hawking Radiation

Cited by 11 publications

References 20 publications

Interior volume of Banados–Teitelboim–Zanelli black hole

Interior volume of Banados–Teitelboim–Zanelli black hole

Volume dependent extension of Kerr-Newman black hole thermodynamics

Hawking radiation with angular momentum and the entropy variation in a Kerr black hole

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