https://doi.org/10.1140/epjc/s10052-013-2398-6
Regular Article - Theoretical Physics
Higher order WKB corrections to black hole entropy in brick wall formalism
1
Center for Quantum Spacetime (CQUeST), Sogang University, Seoul, 121-742, South Korea
2
Department of Physics, Sogang University, Seoul, 121-742, South Korea
* e-mail: skulkarnig@gmail.com
Received:
13
November
2012
Revised:
5
April
2013
Published online:
20
April
2013
We calculate the statistical entropy of a quantum field with an arbitrary spin propagating on the spherical symmetric black hole background by using the brick wall formalism at higher orders in the WKB approximation. For general spins, we find that the correction to the standard Bekenstein–Hawking entropy depends logarithmically on the area of the horizon. Furthermore, we apply this analysis to the Schwarzschild and Schwarzschild–AdS(dS) black holes and discuss our results.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013
