Third Law of Black-Hole Dynamics: A Formulation and Proof

Phys. Rev. Lett. 57, 397 – Published 28 July 1986
W. Israel

Abstract

It is shown that no continuous process in which the energy tensor of accreted matter remains bounded and satisfies the weak energy condition in a neighborhood of the apparent horizon can reduce the surface gravity of a black hole to zero within a finite advanced time. This gives a precise expression to the third law of black-hole mechanics.

DOI: http://dx.doi.org/10.1103/PhysRevLett.57.397

  • Received 19 May 1986
  • Published in the issue dated 28 July 1986

© 1986 The American Physical Society

Authors & Affiliations

W. Israel*

  • Research Institute for Fundamental Physics, Yukawa Hall, Kyoto University, Kyoto 606, Japan

  • *On leave of absence from Theoretical Physics Institute, Avadh Bhatia Physics Laboratory, University of Alberta, Edmonton, Alberta T6G 2J1, Canada.

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