What Can the Quantum Liquid Say on the Brane Black Hole, the Entropy of an Extremal Black Hole, and the Vacuum Energy?
Abstract
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 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 quantumliquid analog of the brane, where the vacuum lifetime is long enough to consider the horizon as the quasistationary object. Using this analogy we calculate the Bekenstein entropy of the nearextremal 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.
 Publication:

Foundations of Physics
 Pub Date:
 February 2003
 DOI:
 10.1023/A:1023762013553
 arXiv:
 arXiv:grqc/0301043
 Bibcode:
 2003FoPh...33..349V
 Keywords:

 effective gravity;
 black hole entropy;
 cancellation of cosmological constant;
 instability of quantum vacuum;
 simulation of brane black hole;
 General Relativity and Quantum Cosmology;
 Condensed Matter;
 High Energy Physics  Phenomenology
 EPrint:
 LaTeX file, 23 pages, 2 Figures, prepared for issue of Foundations of Physics devoted to the honor of Jacob Bekenstein