Journal ArticleDOI
Third law of black-hole dynamics: A formulation and proof.
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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.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.read more
Citations
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Journal ArticleDOI
The Thermodynamics of Black Holes
TL;DR: This review includes discussion of classical black hole thermodynamics, Hawking radiation from black holes, the generalized second law, and the issue of entropy bounds.
A Relativist's Toolkit
TL;DR: In this article, the authors provide practical tools for the computation of many physically interesting quantities in general relativity, including congruences of timelike and null geodesics, embedding of spacelike hypersurfaces in spacetime, and the Lagrangian and Hamiltonian formulations of general relativity.
Journal ArticleDOI
Overspinning a black hole with a test body.
TL;DR: It is shown that if instead the black hole starts out with below maximal spin, then indeed overspinning can be achieved and requirements on the size and internal structure of the test body can be met.
Book ChapterDOI
A Primer on Energy Conditions
TL;DR: In this paper, a detailed analysis of the technical and conceptual character of all the standard conditions used in physics today, including examination of their consequences and the circumstances in which they are believed to be violated, is presented.
Journal ArticleDOI
The mechanical first law of black hole spacetimes with a cosmological constant and its application to the Schwarzschild–de Sitter spacetime
TL;DR: In this paper, the authors extended the Iyer-Wald formalism to the case of two-horizon spacetimes and derived the MFL of the Schwarzschild-de Sitter (SdS) spacetime.