The thermodynamics in a dynamical black hole

Abstract

Considering the back-reaction of emitting particles to the black hole, a “new” horizon is suggested where thermodynamics can be built in the dynamical black hole. It, at least, means that the thermodynamics of a dynamical black hole should not be constructed at the original event horizon any more. The temperature, “new” horizon position and radiating particles’ energy will be consistent again under the theory of equilibrium thermodynamical system.

Keywords

Hawking radiation / black hole / information loss paradox / back-reaction / event horizon / thermodynamics

References

[1] S. W. Hawking, Commun. Math. Phys., 1975, 43: 199

[2] S. W. Hawking, Nature, 1974, 248: 30

[3] J. D. Bekenstein, Phys. Rev. D, 1973, 7: 2333

[4] J. D. Bekenstein, Phys. Rev. D, 1974, 9: 3292

[5] J. M. Bardeen, B. Carter, and S. W. Hawking, Commun. Math. Phys., 1973, 31: 161

[6] S. W. Hawking, Phys. Rev. D, 1976, 14: 2460

[7] S. W. Hawking, Phys. Rev. D, 2005, 72: 084013

[8] M. K. Parikh and F. Wilczek, Phys. Rev. Lett., 2000, 85: 5042

[9] M. K. Parikh, Int. J. Mod. Phys. D, 2004, 13: 2355

[10] M. K. Parikh, <patent>arXiv: hep-th/0402166</patent>, 2004

[11] P. Kraus and F. Wilczek, Nucl. Phys. B, 1995, 433: 403

[12] S. Hemming and E. Keski-Vakkuri, Phys. Rev. D, 2001, 64: 044006

[13] A. J. M. Medved, Phys. Rev. D, 2002, 66: 124009

[14] E. C. Vagenas, Phys. Lett. B, 2001, 503: 399

[15] E. C. Vagenas, Phys. Lett. B, 2004, 584: 127

[16] J. Y. Zhang and Z. Zhao, Phys. Lett. B, 2005, 618: 14

[17] J. Y. Zhang and Z. Zhao, Nucl. Phys. B, 2005, 725: 173

[18] J. Ren, J. Y. Zhang, and Z. Zhao, Chin. Phys. Lett., 2006, 23: 2019

[19] W. B. Liu, Acta Physica Sinica, 2007, 56(10): 6164

[20] X. K. He and W. B. Liu, Chin. Phys. Lett., 2007, 24: 2448

[21] S. W. Zhou and W. B. Liu, Phys. Rev. D, 2008, 77(10): 104021

[22] T. Damour and R. Ruffini, Phys. Rev. D, 1976, 14: 332

[23] G. Fodor, K. Nakamura, Y. Oshiro, and A. Tomimatsu, Phys. Rev. D, 1996, 54: 3882

[24] W. Collins, Phys. Rev. D, 1992, 45: 495

RIGHTS & PERMISSIONS

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg