Stability of warped AdS3 vacua of topologically massive gravity

Abstract

AdS3 vacua of topologically massive gravity (TMG) have been shown to be perturbatively unstable for all values of the coupling constant except the chiral point μl=1. We study the possibility that the warped vacua of TMG, which exist for all values of μ, are stable under linearized perturbations. In this paper, we show that spacelike warped AdS3 vacua with Compere-Detournay boundary conditions are indeed stable in the range μl > 3. This is precisely the range in which black hole solutions arise as discrete identifications of the warped AdS3 vacuum. The situation somewhat resembles chiral gravity: although negative energy modes do exist, they are all excluded by the boundary conditions, and the perturbative spectrum solely consists of boundary (pure large gauge) gravitons.

30 pages, 1 figure

References in corpus (9)

• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Warped AdS_3 Black Holes
• Black hole mass and angular momentum in topologically massive gravity
• Semi-classical central charge in topologically massive gravity
• Black Hole Entropy in the presence of Chern-Simons Terms
• Boundary conditions for spacelike and timelike warped AdS_3 spaces in topologically massive gravity
• Asymptotically anti-de Sitter spacetimes in topologically massive gravity
• Supersymmetric Gödel and warped black holes in string theory

Cited by in corpus (20)

• Cargese Lectures on the Kerr/CFT Correspondence
• Ghosts of Critical Gravity
• Boundary stress tensor and counterterms for weakened AdS_3 asymptotic in New Massive Gravity
• The Curious Case of Null Warped Space
• Warped black holes in 3D general massive gravity
• Warped anti-de Sitter spaces from brane intersections in type II string theory
• String Theory on Warped AdS_3 and Virasoro Resonances
• Hidden Conformal Symmetry and Quasi-normal Modes
• Self-Dual Warped AdS${}_3$ Black Holes
• Notes on the Hidden Conformal Symmetry in the Near Horizon Geometry of the Kerr Black Hole
• Zeta(n) via hyperbolic functions
• New Near Horizon Limit in Kerr/CFT
• Quasinormal Modes of Self-Dual Warped AdS${}_3$ Black Hole in Topological Massive Gravity
• Conserved charges in 3D gravity
• Near-Extremal Limits of Warped Black Holes
• Thermodynamic Stability of Warped AdS3 Black Holes
• A Selberg zeta function for warped AdS${}_3$ black holes
• Near horizon symmetry of extremal spacelike-stretched black holes
• Critical points of WAdS/CFT and higher-curvature gravity
• Extended Near Horizon Symmetries of Extremal BTZ Black Holes in 3D Massive Gravity