Research ArticleOpen AccessGoogle Scholar indexed
Geometric Aspects of Extremal Kerr Black Hole Entropy
Department of Physics and Astronomy, Macquarie University, Sydney, Australia
- 1 Department of Physics and Astronomy, Macquarie University, Sydney, Australia
Journal of Modern Physics·Volume 04 (2013)·Pages 357–363·Published 6 March 2013·DOI10.4236/jmp.2013.43050
Copy link · social · email
Abstract
Extreme Black Hole s is an important theoretical laboratory for exploring the nature of entropy. We suggest that this unusual nature of the extremal limit could explain the entropy of extremal Kerr black holes. The time-independence of the extremal black hole, the zero surface gravity, the zero entropy and the absence of a bifurcate Killing horizon are all related properties that define and reduce to one single unique feature of the extremal Kerr spacetime. We suggest the presence of a true geometric discontinuity as the underlying cause of a vanishing entropy.
KeywordsBifurcate Killing HorizonExtremal Kerr Black HoleBlack Hole Entropy
- J. D. Bekenstein, “Black Holes and Entropy,” Physical Review D, Vol. 7, No. 8, 1973, pp. 2333-2346. doi:10.1103/PhysRevD.7.2333
- S. W. Hawking and G. F. R. Ellis, “The Large Scale Structure of Space-Time,” Cambridge University Press, Cambridge, 1973.
- B. O’Neill, “The Geometry of Kerr Black Holes,” A K Peters, Wellesley, Massachusetts, 1995.
- S. Chandrashekar, “The Mathematical Theory of Black Holes,” Clarendon Press, Oxford, 1983.
- C. W. Misner, K. S. Thorne and J. A. Wheeler, “Gravitation,” W. H. Freeman, San Francisco, 1973.
- R. Geroch, “Limits of Spacetimes,” Communications in Mathematical Physics, Vol. 13, No. 3, 1969, pp. 180-193. doi:10.1007/BF01645486
- I. Racz, “Does the Third Law of Black Hole Thermodynamics Really Have a Serious Failure?” Classical and Quantum Gravity, Vol. 17, No. 20, 2000, pp. 4353-4356. doi:10.1088/0264-9381/17/20/410
- S.W. Hawking, et al., “Entropy, Area, and Black Hole Pairs,” Physical Review D, Vol. 51, No. 8, 1995, pp. 4302-4314. doi:10.1103/PhysRevD.51.4302
- J. Bardeen and G. T. Horowitz, “The extreme Kerr throat geometry: A vacuum analog of AdS2 ? S2,” Physical Review D, Vol. 60, No. 10, 1999, Article ID: 104030. doi:10.1103/PhysRevD.60.104030
- A. J. Amsel, G. T. Horowitz, D. Marolf and M. M. Roberts, “No Dynamics in the Extremal Kerr Throat,” Journal of High Energy Physics, Vol. 2009, 2009, p. 044. doi:10.1088/1126-6708/2009/09/044
- R. M. Wald, “General Relativity,” The University of Chicago Press, Chicago, 1984.
- R. M. Wald, “Black Hole Entropy Is the Noether Charge,” Physical Review D, Vol. D48, No. 8, 1993, pp. 3427-3431. doi:10.1103/PhysRevD.48.R3427