Asymptotically anti-de Sitter spacetimes in topologically massive gravity

Abstract

We consider asymptotically anti-de Sitter spacetimes in three-dimensional topologically massive gravity with a negative cosmological constant, for all values of the mass parameter $\mu$ ($\mu \ne 0$). We provide consistent boundary conditions that accommodate the recent solutions considered in the literature, which may have a slower fall-off than the one relevant for General Relativity. These conditions are such that the asymptotic symmetry is in all cases the conformal group, in the sense that they are invariant under asymptotic conformal transformations and that the corresponding Virasoro generators are finite. It is found in particular that at the chiral point $|\mu l|=1$ (where $l$ is the anti-de Sitter radius), one must allow for logarithmic terms (absent for General Relativity) in the asymptotic behaviour of the metric in order to accommodate the new solutions present in topologically massive gravity, and that these logarithmic terms make both sets of Virasoro generators non-zero even though one of the central charges vanishes.

13 pages, no figures, references and a note added. To be published in PRD (Rapid Communications)

References in corpus (5)

• Asymptotically AdS_3 Solutions to Topologically Massive Gravity at Special Values of the Coupling Constants
• Three-dimensional supergravity reloaded
• A Simple Proof of the Chiral Gravity Conjecture
• Erratum to `Instability in cosmological topologically massive gravity at the chiral point', arXiv:0805.2610
• Canonical analysis of cosmological topologically massive gravity at the chiral point

Cited by in corpus (5)

• Topologically Massive Gravity and the AdS/CFT Correspondence
• Note on New Massive Gravity in $Ad{S}_3$
• On the Generalized Massive Gravity in $Ad{S}_3$
• Erratum to `Instability in cosmological topologically massive gravity at the chiral point', arXiv:0805.2610
• Kundt spacetimes of massive gravity in three dimensions