Non-Einstein geometries in Chiral Gravity

Abstract

We analyze the asymptotic solutions of Chiral Gravity (Topologically Massive Gravity at μl = 1 with Brown-Henneaux boundary conditions) focusing on non-Einstein metrics. A class of such solutions admits curvature singularities in the interior which are reflected as singularities or infinite bulk energy of the corresponding linear solutions. A non-linear solution is found exactly. The back-reaction induces a repulsion of geodesics and a shielding of the singularity by an event horizon but also introduces closed timelike curves.

11 pages, 3 figures. v2: references and comments on linear stability (Sect.2) added

References in corpus (3)

• Surface charge algebra in gauge theories and thermodynamic integrability
• Topologically Massive Gravity and the AdS/CFT Correspondence
• AdS_3/LCFT_2 - Correlators in Cosmological Topologically Massive Gravity

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