2012
DOI: 10.1103/physrevd.86.024008
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Universal properties and the first law of black hole inner mechanics

Abstract: 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… Show more

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Cited by 120 publications
(189 citation statements)
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“…Based on the studies of asymptotically flat solutions [5][6][7]9], recent studies show the universal nature of the area products and entropy products at all horizons of black holes in gauged supergravities and higher derivative gravity theories, as they depend only on the quantized charges, quantized angular momenta and cosmological constant [31][32][33]. This strong condition also enhances the importance of probing the horizons carefully.…”
Section: Jhep09(2014)121mentioning
confidence: 99%
See 1 more Smart Citation
“…Based on the studies of asymptotically flat solutions [5][6][7]9], recent studies show the universal nature of the area products and entropy products at all horizons of black holes in gauged supergravities and higher derivative gravity theories, as they depend only on the quantized charges, quantized angular momenta and cosmological constant [31][32][33]. This strong condition also enhances the importance of probing the horizons carefully.…”
Section: Jhep09(2014)121mentioning
confidence: 99%
“…The literature with the separability analysis of the wave equations and the subtracted geometry of the asymptotically flat solutions [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] is much richer and complete than the number of studies on the asymptotically anti-de Sitter (AdS) spacetimes, including the recent most general solution for the maximally supersymmetric ungauged supergravity [16][17][18]. The remarkable structure of separability seen in these works has also been found in some gauged supergravity solutions [19][20][21][22][23][24][25][26].…”
Section: Introductionmentioning
confidence: 99%
“…It is true in a lot of examples [14,15,16], that for nonextremal black hole solutions the product between the areas of the inner and outer event horizons does not depend on the mass. In particular, such product depends just on the quantized electric and magnetic charges.…”
Section: Product Of the Areasmentioning
confidence: 99%
“…They can be deformed to nonextremal ones [11,12], in order to have thermal states, which are useful for applications of AdS/CFT to condensed matter systems. Moreover, these finite temperature black holes provide another playground where to test the conjecture of [13,14,15,16] concerning the product of the inner and outer areas of the horizons. Indeed, for all the non-extremal cases considered so far, such product does not depend on the mass of the configuration, but only on the quantized charges.…”
Section: Introduction and Outlookmentioning
confidence: 99%
“…This relation for extremal black holes represents the limiting case of a more general relation for MP black holes in terms of the inner and outer horizon areas of non-extremal black holes [20], and was pointed out in four dimensions before [21,22,23,24,25,26,27]. In the presence of charge, the relation generalizes, and the product of the horizon areas can typically be written as a sum between the squares of the angular momenta and some powers of the charges [20,21,22,23,24,25,26,27,28]. Area-angular momentumcharge inequalities for stable marginally outer trapped surfaces were studied for EMd theory in [29,30].…”
Section: Introductionmentioning
confidence: 99%