Black Hole Thermodynamics without a Black Hole?

Details Black Hole Thermodynamics without a Black Hole? Black Hole Thermodynamics without a Black Hole?

2003-02-17

arxiv.org/abs/gr-qc/0302066v1

Nucl.Phys. B661 (2003) 409-422

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, it will be submitted to Phys.Lett.B

Scientific paper

10.1016/S0550-3213(03)00251-7

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 classical analogue of quantum black hole and show that such a model has a topological temperature which equals exactly the Hawking's temperature. Assuming for the entropy the Bekenstein-Hawking value we develop the local thermodynamics for our model and show that the entropy is naturally quantized with the equidistant spectrum S + gamma_0*N. Our model allows, in principle, to calculate the value of gamma_0. In the simplest case, considered here, we obtain gamma_0 = ln(2).

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