Entropy-Product Rules for Charged Rotating Black Holes - INSPIRE

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Entropy-Product Rules for Charged Rotating Black Holes

M. Cvetic
(
- Pennsylvania U. and
- Maribor U.
)
,
H. Lu
(
- Beijing Normal U.
)
,
C.N. Pope
(
- Texas A-M and
- Cambridge U., DAMTP
)

Jun 19, 2013

11 pages

Published in:

Phys.Rev.D 88 (2013) 044046

Published: Aug 26, 2013

e-Print:

1306.4522 [hep-th]

DOI:

10.1103/PhysRevD.88.044046

Report number:

UPR-1252-T,
MIFPA-13-19

View in:

ADS Abstract Service

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Abstract: (APS)

We study the universal nature of the product of the entropies of all horizons of charged rotating black holes. We argue, by examining further explicit examples, that when the maximum number of rotations and/or charges are turned on, the entropy product is expressed in terms of angular momentum and/or charges only, which are quantized. (In the case of gauged supergravities, the entropy product depends on the gauge-coupling constant also.) In two-derivative gravities, the notion of the “maximum number” of charges can be defined as being sufficiently many nonzero charges that the Reissner-Nordström black hole arises under an appropriate specialization of the charges. (The definition can be relaxed somewhat in charged anti-de Sitter black holes in D≥6.) In higher-derivative gravity, we use the charged rotating black hole in Weyl-Maxwell gravity as an example for which the entropy product is still quantized, but it is expressed in terms of the angular momentum only, with no dependence on the charge. This suggests that the notion of maximum charges in higher-derivative gravities requires further understanding.

Note:

References added. 24 pages

04.50.-h
black hole: rotation
derivative: high
black hole: Reissner-Nordstroem
black hole: anti-de Sitter
gravitation
entropy
angular momentum
quantization
supergravity

References(43)

Figures(0)

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