Gravitational thermodynamics

Toward the New Gravitational Noncommutative Mechanics and Statistical Mechanics of Quantum Black Holes

This is a short account of our work on the statistical mechanics of ‘cold’ quantum black holes in the constituent model of a black hole 3 4 . A quantum Schwarzschild black hole consists of gravitational atoms of Planckian mass scale 3 4 . The gapless bosonic collective excitations of a bound state of N gravitational atoms dominate the thermodynamics of a cold quantum black hole. It turns out th...

Classical thermodynamics of gravitational collapse

The postulates of gravitational thermodynamics.

The general principles and logical structure of a thermodynamic formalism that incorporates strongly self-gravitating systems are presented. This framework generalizes and simplifies the formulation of thermodynamics developed by Callen. The definition of extensive variables, the homogeneity properties of intensive parameters, and the fundamental problem of gravitational thermodynamics are disc...

On temperature corrections to Einstein equations

The temperature correction to the Einstein action is considered which does not depend on the Planck energy physics. The leading correction may be interpreted in terms of the temperature dependent effective gravitational and cosmological constants. The correction to the gravitational constant appears to be valid for all temperatures T ≪ EPlanck. It is universal since it is determined only by the...

Black Hole thermodynamics without a black hole?

In the present paper we consider, using our earlier results, the process of quantum gravitational collapse and argue that there exists the final quantum state when the collapse stops. This state, which can be called the “no-memory state”, reminds the final “no-hair state” of the classical gravitational collapse. Translating the “no-memory state” into classical language we construct the classica...