English

Non-Einstein geometries in Chiral Gravity

High Energy Physics - Theory 2014-11-21 v2 General Relativity and Quantum Cosmology

Abstract

We analyze the asymptotic solutions of Chiral Gravity (Topologically Massive Gravity at \mu l = 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.

Keywords

Cite

@article{arxiv.1006.3099,
  title  = {Non-Einstein geometries in Chiral Gravity},
  author = {Geoffrey Compère and Sophie de Buyl and Stéphane Detournay},
  journal= {arXiv preprint arXiv:1006.3099},
  year   = {2014}
}

Comments

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

R2 v1 2026-06-21T15:36:51.370Z