Asymptotically warped anti-de Sitter spacetimes in topologically massive gravity

Abstract

Asymptotically warped AdS spacetimes in topologically massive gravity with negative cosmological constant are considered in the case of spacelike stretched warping, where black holes have been shown to exist. We provide a set of asymptotic conditions that accommodate solutions in which the local degree of freedom (the "massive graviton") is switched on. An exact solution with this property is explicitly exhibited and possesses a slower fall-off than the warped AdS black hole. The boundary conditions are invariant under the semidirect product of the Virasoro algebra with a u(1) current algebra. We show that the canonical generators are integrable and finite. When the graviton is not excited, our analysis is compared and contrasted with earlier results obtained through the covariant approach to conserved charges. In particular, we find agreement with the conserved charges of the warped AdS black holes as well as with the central charges in the algebra.

17 pages. References added

References in corpus (11)

• Warped AdS_3 Black Holes
• Black hole mass and angular momentum in topologically massive gravity
• Topologically Massive Gravity and the AdS/CFT Correspondence
• Semi-classical central charge in topologically massive gravity
• Boundary conditions for spacelike and timelike warped AdS_3 spaces in topologically massive gravity
• Asymptotically anti-de Sitter spacetimes in topologically massive gravity
• Canonical structure of topologically massive gravity with a cosmological constant
• Stability of warped AdS3 vacua of topologically massive gravity
• Covariant Symplectic Structure and Conserved Charges of Topologically Massive Gravity
• All stationary axi-symmetric local solutions of topologically massive gravity
• Witten-Nester Energy in Topologically Massive Gravity

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