IPM

“ Schools ”

“ Centers and Units ”

“ Research Groups ”

“ Useful Links ”

“ E-Services ”

“School of Physics”

Paper IPM / P / 12807

School of Physics

Title:

Extremal Black Holes and First Law of Thermodynamics

Author(s):

1 .	M. Johnstone
2 .	M.M. Sheikh-Jabbari
3 .	J. Simon
4 .	H. Yavartanoo

Status:

Published

Journal:

Phys. Rev. D

Vol.:

Year:

2013

Pages:

101503

Supported by:

IPM

Abstract:

We study low temperature expansion of the first law of thermodynamics for near extremal black holes. We show that for extremal black holes with non-vanishing entropy, the leading order contribution yields an expression for their extremal entropy in agreement with the entropy function result and the Cardy formula for the entropy of a two dimensional chiral conformal field theory (CFT). When their entropy vanishes due to the vanishing of a one-cycle on the horizon, such leading contribution is always compatible with the first law satisfied by a BTZ black hole. These results are universal and consistent both with the presence of local AdS₂ and AdS₃ near horizon throats for extremal black holes and the suggested quantum microscopic descriptions (AdS₂/CFT₁, Kerr/CFT and EVH/CFT).

Download TeX format