Geoffrey Compère, Stéphane Detournay
Boundary Conditions for Spacelike and Timelike Warped $AdS_3$ Spaces in Topologically Massive Gravity
Preprint series: ESI preprints

MSC:

83D05 Relativistic gravitational theories other than Einstein's, including asymmetric field theories

83C45 Quantization of the gravitational field

83C57 Black holes

81R99 None of the above but in this section

PACS: 04.20.-q,04.60.-m,04.70.-s,11.30.-j
Abstract: 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 lead 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.