We review the present status of black hole thermodynamics. Our review includes discussion of classical black hole thermodynamics, Hawking radiation from black holes, the generalized second law, and the issue of entropy bounds. A brief survey also is given of approaches to the calculation of black hole entropy. We conclude with a discussion of some unresolved open issues.

background

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Quasi Local Mass and Angular Momentum

The Thermodynamics of Black Holes

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Contributing Authors.- Preface.- The Thermodynamics of Black Holes, Robert M. Wald.- Introduction to Quantum Fields in Curved Spacetime and the Hawking Effect, Ted Jacobson.- Large N field theories and gravity, Juan Maldacena.- Lectures on D-branes, tachyon condensation, and string field theory, Washington Taylor.- Billiard dynamics, Thibault Damour, Marc Henneaux, Hermann Nicolai.- Tall tales from de Sitter space, Robert C. Myers.- Causal Sets: Discrete Gravity, Rafael D. Sorkin.- Thermal Decay of the Cosmological Constant into Black Holes, Andr'es Gomberoff, Marc Henneaux, Claudio Teitelboim, Frank Wilczek.

/pdf/lectures-on-quantum-gravity-4c6e1w91ny.pdf

Lectures on quantum gravity

We review aspects of twistor theory, its aims and achievements spanning thelast five decades. In the twistor approach, space--time is secondary with events being derived objects that correspond to compact holomorphic curves in a complex three--fold -- the twistor space. After giving an elementary construction of this space we demonstrate how solutions to linear and nonlinear equations of mathematical physics: anti-self-duality (ASD) equations on Yang--Mills, or conformal curvature can be encoded into twistor cohomology. These twistor correspondences yield explicit examples of Yang--Mills, and gravitational instantons which we review. They also underlie the twistor approach to integrability: the solitonic systems arise as symmetry reductions of ASD Yang--Mills equations, and Einstein--Weyl dispersionless systems are reductions of ASD conformal equations. 
We then review the holomorphic string theories in twistor and ambitwistor spaces, and explain how these theories give rise to remarkable new formulae for the computation of quantum scattering amplitudes. Finally we discuss the Newtonian limit of twistor theory, and its possible role in Penrose's proposal for a role of gravity in quantum collapse of a wave function.

Quasi Local Mass and Angular Momentum

Citations

The Thermodynamics of Black Holes

The Thermodynamics of Black Holes

Lectures on quantum gravity

Twistor theory at fifty: from contour integrals to twistor strings

Kantian epistemology as an alternative to heroic astronomy

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