Boundary conditions for spacelike and timelike warped $AdS_{3}$ spaces in topologically massive gravity - INSPIRE

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Boundary conditions for spacelike and timelike warped $AdS_{3}$ spaces in topologically massive gravity

Jun, 2009

16 pages

Published in:

JHEP 08 (2009) 092

e-Print:

0906.1243 [hep-th]

DOI:

10.1088/1126-6708/2009/08/092

Report number:

NSF-KITP-09-96,
ESI-2149

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Abstract: (arXiv)

We propose a set of consistent boundary conditions containing the spacelike warped black holes solutions of Topologically Massive Gravity. We prove that the corresponding asymptotic charges whose algebra consists in a Virasoro algebra and a current algebra are finite, integrable and conserved. A similar analysis is performed for the timelike warped

AdS_{3}

spaces which contain a family of regular solitons. The energy of the boundary Virasoro excitations is positive while the current algebra leads to negative (for the spacelike warped case) and positive (for the timelike warped case) energy boundary excitations. We discuss the relationship with the Brown-Henneaux boundary conditions.

04.20.-q
04.60.-m
11.30.-j
04.70.-s
space: anti-de Sitter
mass: topological
algebra: Virasoro
gravitation: massive
black hole: warped
boundary condition

References(19)

Figures(0)

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