Mass in anti-de Sitter spaces

Liu, James T.; Sabra, W.A.

doi:10.1103/PhysRevD.72.064021

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
)

May, 2004

9 pages

Published in:

Phys.Rev.D 72 (2005) 064021

e-Print:

hep-th/0405171 [hep-th]

DOI:

10.1103/PhysRevD.72.064021

Report number:

CAMS-04-01,
MCTP-04-27

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Abstract: (arXiv)

The boundary stress tensor approach has proven extremely useful in defining mass and angular momentum in asymptotically anti-de Sitter spaces with CFT duals. An integral part of this method is the use of boundary counterterms to regulate the gravitational action and stress tensor. In addition to the standard gravitational counterterms, in the presence of matter we advocate the use of a finite counterterm proportional to phi^2 (in five dimensions). We demonstrate that this finite shift is necessary to properly reproduce the expected mass/charge relation for R-charged black holes in AdS_5.

Note:

15 pages, latex

04.70.Bw
gravitation
cosmological constant
dimension: 5
space-time: anti-de Sitter
boundary condition
field theory: conformal
black hole
mass
tensor: energy-momentum

References(19)

Figures(0)

[1]

Stability of Gravity with a Cosmological Constant

L.F. Abbott
(
- CERN
)
,
Stanley Deser
(
- CERN
)

- Nucl.Phys.B 195 (1982) 76-96
•
DOI:
- 10.1016/0550-3213(82)90049-9

[2]

Quasilocal energy and conserved charges derived from the gravitational action

- Phys.Rev.D 47 (1993) 1407-1419
•
e-Print:
- gr-qc/9209012
•
DOI:
- 10.1103/PhysRevD.47.1407

[3]

The Holographic Weyl anomaly

M. Henningson
(
- CERN
)
,
K. Skenderis
(
- Leuven U.
)

- JHEP 07 (1998) 023
•
e-Print:
- hep-th/9806087
•
DOI:
- 10.1088/1126-6708/1998/07/023

[4]

A Stress tensor for Anti-de Sitter gravity

Vijay Balasubramanian
(
- Harvard U. and
- UC, Santa Barbara
)
,
Per Kraus
(
- Chicago U., EFI
)

- Commun.Math.Phys. 208 (1999) 413-428
•
e-Print:
- hep-th/9902121
•
DOI:
- 10.1007/s002200050764

[5]

Surface terms as counterterms in the AdS / CFT correspondence

Roberto Emparan
(
- Durham U., Dept. of Math. and
- Basque U., Bilbao
)
,
Clifford V. Johnson
(
- Kentucky U.
)
,
Robert C. Myers
(
- McGill U.
)

- Phys.Rev.D 60 (1999) 104001
•
e-Print:
- hep-th/9903238
•
DOI:
- 10.1103/PhysRevD.60.104001

[6]

Hagedorn versus Hawking-Page transition in string theory

- Phys.Rev.D 68 (2003) 066012
•
e-Print:
- hep-th/0305179
•
DOI:
- 10.1103/PhysRevD.68.066012

[7]

Holographic reconstruction of space-time and renormalization in the AdS / CFT correspondence

- Commun.Math.Phys. 217 (2001) 595-622
•
e-Print:
- hep-th/0002230
•
DOI:
- 10.1007/s002200100381

[8]

How to go with an RG flow

Massimo Bianchi
(
- Cambridge U., DAMTP
)
,
Daniel Z. Freedman
(
- Santa Barbara, KITP
)
,
Kostas Skenderis
(
- Princeton U.
)

- JHEP 08 (2001) 041
•
e-Print:
- hep-th/0105276
•
DOI:
- 10.1088/1126-6708/2001/08/041

[9]

Holographic renormalization

Massimo Bianchi
(
- Rome U., Tor Vergata and
- Cambridge U., DAMTP
)
,
Daniel Z. Freedman
(
- MIT, LNS
)
,
Kostas Skenderis
(
- Princeton U.
)

- Nucl.Phys.B 631 (2002) 159-194
•
e-Print:
- hep-th/0112119
•
DOI:
- 10.1016/S0550-3213(02)00179-7

[10]

Supersymmetric AdS(5) black holes

- JHEP 02 (2004) 006
•
e-Print:
- hep-th/0401042
•
DOI:
- 10.1088/1126-6708/2004/02/006

[11]

General supersymmetric AdS(5) black holes

Jan B. Gutowski
(
- Oxford U.
)
,
Harvey S. Reall
(
- Santa Barbara, KITP
)

- JHEP 04 (2004) 048
•
e-Print:
- hep-th/0401129
•
DOI:
- 10.1088/1126-6708/2004/04/048

[12]

Asymptotically Anti-de Sitter space-times: Conserved quantities

Abhay Ashtekar
(
- Penn State U.
)
,
Saurya Das
(
- Penn State U.
)

- Class.Quant.Grav. 17 (2000) L17-L30
•
e-Print:
- hep-th/9911230
•
DOI:
- 10.1088/0264-9381/17/2/101

[13]

Black holes with scalar hair and asymptotics in N = 8 supergravity

Thomas Hertog
(
- UC, Santa Barbara
)
,
Kengo Maeda
(
- Kobe City Tech. Coll.
)

- JHEP 07 (2004) 051
•
e-Print:
- hep-th/0404261
•
DOI:
- 10.1088/1126-6708/2004/07/051

[14]

Negative energy in string theory and cosmic censorship violation

- Phys.Rev.D 69 (2004) 105001
•
e-Print:
- hep-th/0310054
•
DOI:
- 10.1103/PhysRevD.69.105001

[15]

Nonextreme black holes of five-dimensional N=2 AdS supergravity

- Nucl.Phys.B 553 (1999) 317-332
•
e-Print:
- hep-th/9810227
•
DOI:
- 10.1016/S0550-3213(99)00243-6

[16]

Phases of R charged black holes, spinning branes and strongly coupled gauge theories

Mirjam Cvetic
(
- Pennsylvania U.
)
,
Steven S. Gubser
(
- Harvard U.
)

- JHEP 04 (1999) 024
•
e-Print:
- hep-th/9902195
•
DOI:
- 10.1088/1126-6708/1999/04/024

[17]

General (anti-)de Sitter black holes in five-dimensions

D. Klemm
(
- Milan U. and
- INFN, Milan
)
,
W.A. Sabra
(
- American U. of Beirut, CAMS and
- American U. of Beirut
)

- JHEP 02 (2001) 031
•
e-Print:
- hep-th/0011016
•
DOI:
- 10.1088/1126-6708/2001/02/031

[18]

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
)

- JHEP 05 (2005) 034
•
e-Print:
- hep-th/0408205
•
DOI:
- 10.1088/1126-6708/2005/05/034

[19]

We are grateful to for pointing out the importance of this Chern-Simons term for the GutowskiReall solutions. This was overlooked in an earlier version of the computation

H. Kunduri