Gravitation, thermodynamics, and the bound on viscosity

Hod, Shahar

doi:10.1007/s10714-009-0849-z

Cited by 10 publications

(13 citation statements)

References 26 publications

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“…Now it can be shown from (18) that the entropy of the flat dilatonic black hole agrees with the entropy (21) of the near extremal limit of Ad S 2 type black hole solution [3,6,7]. Now we will quantize the entropy of the two dimensional dilatonic stringy black hole via the adiabatic invariance and Bohr-Sommerfeld quantization rule.…”

Section: Entropy and Entropy Spectrummentioning

confidence: 94%

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Entropy spectrum of $$(1+1)$$ ( 1 + 1 ) dimensional stringy black holes

Suresh

Kuriakose

2015

Eur. Phys. J. C

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We explore the entropy spectrum of (1 + 1) dimensional dilatonic stringy black holes via the adiabatic invariant integral method known as Jiang and Han's method (Phys Lett B 718:584, 2012) and the Bohr-Sommerfeld quantization rule. It is found that the corresponding spectrum depends on black hole parameters like charge, ADM mass, and, more interestingly, on the dilatonic field. We calculate the entropy of the present black hole system via the Euclidean treatment of quantum gravity and study the thermodynamics of the black hole and find that the system does not undergo any phase transition.

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Section: Entropy and Entropy Spectrummentioning

confidence: 94%

“…Many methods have been put forward to calculate this entropy spectrum spacing. A first method in this direction was introduced by Hod [17,18]. This method relies on the quasinormal modes and the corresponding frequency.…”

Section: Introductionmentioning

confidence: 99%

Entropy spectrum of $$(1+1)$$ ( 1 + 1 ) dimensional stringy black holes

Suresh

Kuriakose

2015

Eur. Phys. J. C

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“…(13.3) can be rewritten in the traditional units as Obviously, the Kerr-Newman solution saturates this inequality, and in the q = 0 = J , J = 0, and q = 0 special cases, (13.4) reduces to the upper bound given, respectively, by Bekenstein, Zaslavskii, and Hod. A further consequence of the GSL is that there is a lower bound for the ratio of the viscosity to the entropy density of fluids [190, 271]. (It is interesting to note that an analogous lower bound for the relaxation time of any perturbed system, derived for nongravitational systems in [270], is saturated by extremal Reissner-Nordström black holes.…”

Section: Applications In General Relativitymentioning

confidence: 99%

Quasi-Local Energy-Momentum and Angular Momentum in General Relativity

Szabados

2009

Living Rev. Relativ.

329

390

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The present status of the quasi-local mass, energy-momentum and angular-momentum constructions in general relativity is reviewed. First, the general ideas, concepts, and strategies, as well as the necessary tools to construct and analyze the quasi-local quantities, are recalled. Then, the various specific constructions and their properties (both successes and deficiencies are discussed. Finally, some of the (actual and potential) applications of the quasi-local concepts and specific constructions are briefly mentioned.

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“…However, despite the flurry of research over the years, the validity of this conjecture is still an open question (see e.g. [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28] and references therein).…”

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confidence: 99%

Universal charge–mass relation: From black holes to atomic nuclei

Hod

2010

Physics Letters B

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The cosmic censorship hypothesis, introduced by Penrose forty years ago, is one of the corner stones of general relativity. This conjecture asserts that spacetime singularities that arise in gravitational collapse are always hidden inside of black holes. The elimination of a black-hole horizon is ruled out by this principle because that would expose naked singularities to distant observers. We test the consistency of this prediction in a gedanken experiment in which a charged object is swallowed by a charged black hole. We find that the validity of the cosmic censorship conjecture requires the existence of a charge-mass bound of the form q ≤ µ 2/3 E −1/3 c , where q and µ are the charge and mass of the physical system respectively, and Ec is the critical electric field for pairproduction. Applying this bound to charged atomic nuclei, one finds an upper limit on the number Z of protons in a nucleus of given mass number A: Z ≤ Z * = α −1/3 A 2/3 , where α = e 2 /h is the fine structure constant. We test the validity of this novel bound against the (Z, A)-relation of atomic nuclei as deduced from the Weizsäcker semi-empirical mass formula.

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Gravitation, thermodynamics, and the bound on viscosity

Cited by 10 publications

References 26 publications

Entropy spectrum of $$(1+1)$$ ( 1 + 1 ) dimensional stringy black holes

Entropy spectrum of $$(1+1)$$ ( 1 + 1 ) dimensional stringy black holes

Quasi-Local Energy-Momentum and Angular Momentum in General Relativity

Universal charge–mass relation: From black holes to atomic nuclei

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