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. In particular, this method provides a definition of conserved quantities for solutions at the chiral point μℓ = 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.
- Black Holes
- Chern-Simons Theories
- Classical Theories of Gravity
- Space- Time Symmetries
ASJC Scopus subject areas
- Nuclear and High Energy Physics