Scalar field contribution to rotating black hole entropy
Abstract
The scalar field contribution to entropy is studied in an arbitrary D dimensional one parameter rotating spacetime by semiclassical methods. By introducing a zenith angle dependent cutoff parameter, the generalized area law is derived. The nonrotating limit can be taken smoothly and it yields known results. The derived area law is then applied to the Bañados-Teitelboim-Zanelli black hole in (2+1) dimensions and the Kerr-Newman black hole in (3+1) dimensions. The generalized area law is reconfirmed by the Euclidean path integral method for the quantized scalar field. The scalar field mass contribution is discussed briefly.
- Publication:
-
Physical Review D
- Pub Date:
- March 2006
- DOI:
- 10.1103/PhysRevD.73.064004
- arXiv:
- arXiv:gr-qc/0510012
- Bibcode:
- 2006PhRvD..73f4004K
- Keywords:
-
- 04.70.Dy;
- 04.62.+v;
- 97.60.Lf;
- Quantum aspects of black holes evaporation thermodynamics;
- Quantum field theory in curved spacetime;
- Black holes;
- General Relativity and Quantum Cosmology
- E-Print:
- 26 pages