Pandora's black box: 'mosaic' thermodynamics

Black Hole Thermodynamics in a Box

Simple calculations indicate that the partition function for a black hole is defined only if the temperature is fixed on a finite boundary. Consequences of this result are discussed. 1 The Black Hole Partition Function From the work of Gibbons and Hawking in the late 1970’s came a very simple prescription for the computation of the temperature of a static black hole [1]: • Write the black hole ...

Noncommutative Black Hole Thermodynamics

We give a general (metric independent) derivation of the relation Th = K 2π connecting the black hole temperature (Th) with the surface gravity (K), following the tunneling interpretation of Hawking radiation. This derivation is valid even beyond the semi classical regime i. e. when quantum effects are not negligible. The formalism is then applied to a spherically symmetric, stationary noncommu...

Black hole thermodynamics

These notes introduce basic aspects of black hole thermodynamics. I review the classical laws of black hole mechanics, give a brief introduction to the essential concepts of quantum field theory in curved spacetime, and derive the Unruh and Hawking effects. I conclude with a discussion of entropy from the Euclidean path integral point of view and in the context of the AdS/CFT correspondence. Or...

Black Hole Thermodynamics ∗

Black holes and thermodynamics

There exists a set of striking similarities between the laws governing the equilibrium mechanics of stationary black holes and the classical laws of thermodynamics. While the full development of this relationship requires the use of quantum field theory, the connection between thermodynamics and black hole mechanics is evident even in the framework of classical general relativity. This paper pr...