A complementary third law for black hole thermodynamics

Yao, Yuan; Hou, Meng-Shi; Ong, Yen Chin

doi:10.1140/epjc/s10052-019-7003-1

Cited by 17 publications

(11 citation statements)

References 85 publications

(120 reference statements)

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“…In a previous study by the authors, a "complementary third law" was found [65], which states that if the end state of black hole evaporation has finite nonzero temperature but zero size, then the evaporation time (assuming thermal evaporation always holds) is necessarily infinite. It was shown therein that GHS black hole with electrical charge held fix, behaves in this way.…”

Section: Discussion: Cosmic Censorship Always Holds Under Hawkingmentioning

confidence: 99%

“…In a previous study by the authors, a "complementary third law" for black hole thermodynamics was found [65]. It states that for a large class of black holes whose end state has finite nonzero temperature but zero size, the evolution time is necessarily infinite (as opposed to the usual third law, which states that the evolution towards zero temperature takes an infinite time).…”

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confidence: 99%

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Charged particle production rate from cosmic censorship in dilaton black hole spacetimes

Ong

Yao

2019

J. High Energ. Phys.

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Hiscock and Weems showed that under Hawking evaporation, an isolated asymptotically flat Reissner-Nordström (RN) black hole evolves in a surprising manner: if it starts with a relatively small value of charge-to-mass ratio Q/M , then said value will temporarily increase along its evolutionary path, before finally decreases towards zero. This contrasts with highly charged ones that simply radiate away its charge steadily. The combination of these two effects is the cosmic censor at work: there exists an attractor that flows towards the Schwazschild limit, which ensures that extremalityand hence naked singularity -can never be reached under Hawking evaporation. We apply the scheme of Hiscock and Weems to model the evaporation of an asymptotically flat dilatonic charge black hole known as the Garfinkle-Horowitz-Strominger (GHS) black hole. We found that upholding the cosmic censorship requires us to modify the charged particle production rate, which remarkably agrees with the expression obtained independently via direct computation of charged particle production rate on curved spacetime background. This not only strengthens the case for cosmic censorship, but also provides an example in which cosmic censorship can be a useful principle to deduce other physics. We also found that the attractor behavior is not necessarily related to the specific heat, contrary to the claim by Hiscock and Weems.

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Section: Discussion: Cosmic Censorship Always Holds Under Hawkingmentioning

confidence: 99%

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confidence: 99%

Charged particle production rate from cosmic censorship in dilaton black hole spacetimes

Ong

Yao

2019

J. High Energ. Phys.

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“…However, to get a precise lifetime one has to compute the grey body factors of all the particles [46][47][48][49][50][51][52][53][54][55][56][57][58][59][60][61][62][63]. On the other hand, near the end of the evaporation, effective field theory starts to fail, and quantum gravity effect may stop the evaporation, leaving a black hole "remnant" [64][65][66][67]. We hope to be able to consider these questions in our future work.…”

Section: Summary and Discussionmentioning

confidence: 99%

Black hole evaporation in Lovelock gravity with diverse dimensions

Yung

2019

Physics Letters B

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We investigate the black hole evaporation process in Lovelock gravity with diverse dimensions. By selecting the appropriate coefficients, the space-time solutions can possess a unique AdS vacuum with a fixed cosmological constant Λ = − (d−1)(d−2) 2ℓ 2 . The black hole solutions can be divided into two cases: d > 2k + 1 and d = 2k + 1. In the case of d > 2k + 1, the black hole is in an analogy with the Schwarzschild AdS black hole, and the life time is bounded by a time of the order of ℓ d−2k+1 , which reduces Page's result on the Einstein gravity in k = 1. In the case of d = 2k + 1, the black hole resembles the three dimensional black hole. The black hole vacuum corresponds to T = 0, so the black hole will take infinite time to evaporate away for any initial states, which obeys the third law of thermodynamics. In the asymptotically flat limit ℓ → ∞, the system reduces to the pure Lovelock gravity that only possesses the highest k-th order term. For an initial mass M0, the life time of the black hole is in the order of M d−2k+1 d−2k−1 0 .

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“…More recently, non-commutative geometry [46] and corpuscular gravity, were also shown to give rise to negative α [47]. See [48][49][50], as well as the recent review [51], for more discussions. Incidentally, the method used in Sec.…”

Section: The Sign Of Extended Uncertainty Principle Parametermentioning

confidence: 97%

Schwinger pair production and the extended uncertainty principle: can heuristic derivations be trusted?

Ong

2020

Eur. Phys. J. C

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The rate of Schwinger pair production due to an external electric field can be derived heuristically from the uncertainty principle. In the presence of a cosmological constant, it has been argued in the literature that the uncertainty principle receives a correction due to the background curvature, which is known as the “extended uncertainty principle” (EUP). We show that EUP does indeed lead to the correct result for Schwinger pair production rate in anti-de Sitter spacetime (the case for de Sitter spacetime is similar), provided that the EUP correction term is negative (positive for the de Sitter case). We compare the results with previous works in the EUP literature, which are not all consistent. Our result further highlights an important issue in the literature of generalizations of the uncertainty principle: how much can heuristic derivations be trusted?

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A complementary third law for black hole thermodynamics

Cited by 17 publications

References 85 publications

Charged particle production rate from cosmic censorship in dilaton black hole spacetimes

Charged particle production rate from cosmic censorship in dilaton black hole spacetimes

Black hole evaporation in Lovelock gravity with diverse dimensions

Schwinger pair production and the extended uncertainty principle: can heuristic derivations be trusted?

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