Near horizon symmetry and entropy of black holes in the presence of a conformally coupled scalar

Abstract

We analyze the near horizon conformal symmetry for black hole solutions in gravity with a conformally coupled scalar field using the method proposed by Majhi and Padmanabhan recently. It is shown that the entropy of the black holes of the form $\mathrm{d}{s}^2=-f(r)\mathrm{d}{t}^2+\mathrm{d}{r}^2/f(r)+...$ agrees with Wald entropy. This result is different from previous result obtained by M. Natsuume, T. Okamura and M. Sato using the canonical Hamiltonian formalism, which claims a discrepancy from Wald entropy.

to appear in CQG

References in corpus (2)

• Noether current from the surface term of gravitational action, Virasoro algebra and horizon entropy
• Thermodynamical properties of hairy black holes in n spacetimes dimensions

Cited by in corpus (2)

• Conformal Transformation, Near Horizon Symmetry, Virasoro Algebra and Entropy
• Entropy of isolated horizon from surface term of gravitational action