What can the quantum liquid say on the brane black hole, the entropy of extremal black hole and the vacuum energy?

Details What can the quantum liquid say on the brane black hole, the entropy of extremal black hole and the vacuum energy? What can the quantum liquid say on the brane black hole, the entropy of extremal black hole and the vacuum energy?

2003-01-13

arxiv.org/abs/gr-qc/0301043v2

Found.Phys. 33 (2003) 349-368

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX file, 23 pages, 2 Figures, prepared for issue of Foundations of Physics devoted to the honor of Jacob Bekenstein; mispri

Scientific paper

Using quantum liquids one can simulate the behavior of the quantum vacuum in the presence of the event horizon. The condensed matter analogs demonstrate that in most cases the quantum vacuum resists to formation of the horizon, and even if the horizon is formed different types of the vacuum instability develop, which are faster than the process of Hawking radiation. Nevertheless, it is possible to create the horizon on the quantum-liquid analog of the brane, where the vacuum life-time is long enough to consider the horizon as the quasistationary object. Using this analogy we calculate the Bekenstein entropy of the nearly extremal and extremal black holes, which comes from the fermionic microstates in the region of the horizon -- the fermion zero modes. We also discuss how the cancellation of the large cosmological constant follows from the thermodynamics of the vacuum.

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