Spin entropy of a rotating black hole

Curir, A.

doi:10.1007/bf02743435

Cited by 51 publications

(56 citation statements)

References 5 publications

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“…Ref. [12,13] studied this relation for the Kerr black hole and for more general black holes in [26,27]; we show that (3) holds regardless of the complexity of the solution. For the sake of comparison, the first law for the outer horizon is…”

mentioning

confidence: 84%

Universal properties and the first law of black hole inner mechanics

2012

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We show by explicit computations that the product of all the horizon areas is independent of the mass, regardless of the topology of the horizons. The universal character of this relation holds for all known five dimensional asymptotically flat black rings, and for black strings. This gives further evidence for the crucial role that the thermodynamic properties at each horizon play in understanding the entropy at the microscopic level. To this end we propose a "first law" for the inner Cauchy horizons of black holes. The validity of this formula, which seems to be universal, was explicitly checked in all cases.

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confidence: 84%

Universal properties and the first law of black hole inner mechanics

2012

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“…The application of thermodynamical principles to the inner horizon remains a work in progress [18][19][20][21]. Assigning a statistical meaning to the inner horizon is difficult for many reasons, not least because the inner horizon is classically unstable [22][23][24][25][26][27].…”

Section: Jhep01(2015)075mentioning

confidence: 99%

Hot attractors

Goldstein

Jejjala

Nampuri

2015

J. High Energ. Phys.

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The product of the areas of the event horizon and the Cauchy horizon of a non-extremal black hole equals the square of the area of the horizon of the black hole obtained from taking the smooth extremal limit. We establish this result for a large class of black holes using the second order equations of motion, black hole thermodynamics, and the attractor mechanism for extremal black holes. This happens even though the area of each horizon generically depends on the moduli, which are asymptotic values of scalar fields. The conformal field theory dual to the BTZ black hole facilitates a microscopic interpretation of the result. In addition, we demonstrate that certain quantities which vanish in the extremal case are zero when integrated over the region between the two horizons. We corroborate these conclusions through an analysis of known solutions.

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“…The first hint comes from the fact that for any asymptotically flat black hole admitting a smooth extremal limit, the product A + A − of the inner and outer horizons' areas seems to depend only on the quantized charges and is independent of the mass [9] (see also [10][11][12][13][14]). Another intriguing feature put forwards recently [12] (see [15,16] for related observations in the Kerr black hole) is the fact that inner horizons seem to enjoy their own first law, in the form…”

Section: Introductionmentioning

confidence: 99%

Inner Mechanics of Three-Dimensional Black Holes

Detournay

2012

Phys. Rev. Lett.

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We investigate properties of the inner horizons of certain black holes in higher-derivative threedimensional gravity theories. We focus on BTZ and Spacelike Warped Anti-de Sitter black holes, as well as on asymptotically Warped de-Sitter solutions exhibiting both a cosmological and a black hole horizon. We verify that a First Law is satisfied at the Inner horizon, in agreement with the proposal of [12]. We then show that, in Topologically Massive Gravity, the product of the areas of the inner and outer horizons fails to be independent on the mass, and trace this to the diffeomorphism anomaly of the theory.

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Spin entropy of a rotating black hole

Cited by 51 publications

References 5 publications

Universal properties and the first law of black hole inner mechanics

Universal properties and the first law of black hole inner mechanics

Hot attractors

Inner Mechanics of Three-Dimensional Black Holes

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