Black string solutions with negative cosmological constant - INSPIRE

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Black string solutions with negative cosmological constant

Robert B. Mann
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)
,
Eugen Radu
(
- NUIM, Maynooth
)
,
Cristian Stelea
(
- Waterloo U.
)

Apr, 2006

20 pages

Published in:

JHEP 09 (2006) 073

e-Print:

hep-th/0604205 [hep-th]

DOI:

10.1088/1126-6708/2006/09/073

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Abstract:

We present arguments for the existence of new black string solutions with negative cosmological constant. These higher-dimensional configurations have no dependence on the `compact' extra dimension, and their conformal infinity is the product of time and

S^{d-3}\times R

or

H^{d-3}\times R

. The configurations with an event horizon topology

S^{d-2}\times S^1

have a nontrivial, globally regular limit with zero event horizon radius. We discuss the general properties of such solutions and, using a counterterm prescription, we compute their conserved charges and discuss their thermodynamics. Upon performing a dimensional reduction we prove that the reduced action has an effective

SL(2,R)

symmetry. This symmetry is used to construct non-trivial solutions of the Einstein-Maxwell-Dilaton system with a Liouville-type potential for the dilaton in

(d-1)

-dimensions.

black strings
AdS/CFT
Einstein-Maxwell-Liouville gravity
gravitation
higher-dimensional
field equations: solution
boundary condition
mass
tension
black hole

References(46)

Figures(0)

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(
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)
,
Cristian Stelea
(
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)

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(
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)
,
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(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)
,
Cristian Stelea
(
- Waterloo U.
)

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(
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)
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(
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)

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