English

Background-independent charges in Topologically Massive Gravity

High Energy Physics - Theory 2009-12-17 v2 General Relativity and Quantum Cosmology

Abstract

We construct background-independent Noether charges in Topologically Massive Gravity with negative cosmological constant using its first-order formulation. The procedure is carried out by keeping track of the surface terms in the variation of the action, regardless the value of the gravitational Chern-Simons coupling μ\mu. In particular, this method provides a definition of conserved quantities for solutions at the chiral point μl=1\mu l = 1 (ll is the AdS radius) that contain logarithmic terms (Log Gravity). It is also shown that the charge formula gives a finite result for warped AdS black holes without the need for any background-substraction procedure.

Keywords

Cite

@article{arxiv.0909.2275,
  title  = {Background-independent charges in Topologically Massive Gravity},
  author = {Olivera Miskovic and Rodrigo Olea},
  journal= {arXiv preprint arXiv:0909.2275},
  year   = {2009}
}

Comments

23 pages; appendix and a few references added; final version for JHEP

R2 v1 2026-06-21T13:45:35.391Z