Entropy of extremal warped black holes

Abstract

We study the entropy of extremal warped black hole obtained from the topologically massive gravity with a negative cosmological constant of $\Lambda =-1/l^2$. We compare the entropy $S_e=\pi \alpha /3G$ from the Wald formalism with $S_w=\pi lu/3G$ from the entropy function approach. These are the same if $\alpha =lu$. Also we obtain the same Cardy formula when $J_e=l^{3}q$ with $J_e$ the angular momentum and $q$ the conserved quantity.

11 pages

References in corpus (2)

• Semi-classical central charge in topologically massive gravity
• Logarithmic conformal field theory approach to topologically massive gravity