Background-independent charges in Topologically Massive Gravity

Details Background-independent charges in Topologically Massive Gravity Background-independent charges in Topologically Massive Gravity

2009-09-11

arxiv.org/abs/0909.2275v2

JHEP 0912:046,2009

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/1126-6708/2009/12/046

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 $\mu$. In particular, this method provides a definition of conserved quantities for solutions at the chiral point $\mu l = 1$ ($l$ 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.

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