Black hole mass and Hamilton-Jacobi counterterms - INSPIRE

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Black hole mass and Hamilton-Jacobi counterterms

A. Batrachenko
(
- Michigan U., MCTP
)
,
James T. Liu
(
- Michigan U., MCTP
)
,
R. McNees
(
- Michigan U., MCTP
)
,
W.A. Sabra
(
- American U. of Beirut, CAMS and
- American U. of Beirut
)
,
W.Y. Wen
(
- Michigan U., MCTP
)

Aug, 2004

22 pages

Published in:

JHEP 05 (2005) 034

e-Print:

hep-th/0408205 [hep-th]

DOI:

10.1088/1126-6708/2005/05/034

Report number:

CAMS-04-03,
MCTP-04-49

View in:

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Abstract:

We apply the method of holographic renormalization to computing black hole masses in asymptotically anti-de Sitter spaces. In particular, we demonstrate that the Hamilton-Jacobi approach to obtaining the boundary action yields a set of counterterms sufficient to render the masses finite for four, five, six and seven-dimensional R-charged black holes in gauged supergravities. In addition, we prove that the familiar black hole thermodynamical expressions and in particular the first law continues to holds in general in the presence of arbitrary matter couplings to gravity.

supergravity
field equations: solution
black hole: charge
black hole: mass
space-time: de Sitter
Hamilton-Jacobi equation
perturbation theory: higher-order
renormalization
energy
thermodynamics

References(43)

Figures(0)

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(
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)
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(
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)

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(
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)
,
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(
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)

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Mass in anti-de Sitter spaces

James T. Liu
(
- Michigan U., MCTP
)
,
W.A. Sabra
(
- American U. of Beirut, CAMS and
- American U. of Beirut
)

- Phys.Rev.D 72 (2005) 064021
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•
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