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An introduction to the mechanics of black holes
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An introduction to the mechanics of black holes
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These notes provide a self-contained introduction to the derivation of the zero, first and second laws of black hole mechanics. The prerequisite conservation laws in gauge and gravity theories are also briefly discussed. An explicit derivation of the first law in general relativity is performed in appendix.
Forward citations
Cited by 4 Pith papers
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Black Hole Entropy Beyond the Wald Term in Nonminimally Coupled Gravity: A Covariant Phase Space Decomposition
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Gravitational constant as a conserved charge in black hole thermodynamics
Using two scalar-gauge pairs and the off-shell ADT formalism in a modified Einstein-Hilbert theory, the authors derive conserved charges for mass, cosmological constant, and G that yield a consistent extended thermody...
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Thermodynamics of Kerr-Bertotti-Robinson black hole
A consistent thermodynamics of the Kerr-Bertotti-Robinson black hole is constructed by adopting the Christodoulou-Ruffini mass relation, yielding a first law and Smarr formula without an explicit magnetic-field work term.
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Holographic pressure and volume for black holes
Introduces a holographic pressure and volume for static spherically symmetric black holes via quasi-local thermodynamics, showing large black holes become extensive in the large-system limit while small ones do not.
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