Fermionic microstates within the PainlevéGullstrand black hole
Abstract
We consider the quantum vacuum of fermionic field in the presence of a blackhole background as a possible candidate for the stabilized black hole. The stable vacuum state (as well as thermal equilibrium states with arbitrary temperature) can exist if we use the PainlevéGullstrand description of the black hole, and the superluminal dispersion of the particle spectrum at high energy, which is introduced in the freefalling frame. Such choice is inspired by the analogy between the quantum vacuum and the ground state of quantum liquid, in which the event horizon for the lowenergy fermionic quasiparticles also can arise. The quantum vacuum is characterized by the Fermi surface, which appears behind the event horizon. We do not consider the back reaction, and thus there is no guarantee that the stable black hole exists. But if it does exist, the Fermi surface behind the horizon would be the necessary attribute of its vacuum state. We also consider exact discrete spectrum of fermions inside the horizon which allows us to discuss the problem of fermion zero modes.
 Publication:

Soviet Journal of Experimental and Theoretical Physics
 Pub Date:
 May 2002
 DOI:
 10.1134/1.1484981
 arXiv:
 arXiv:grqc/0111055
 Bibcode:
 2002JETP...94..853H
 Keywords:

 General Relativity and Quantum Cosmology;
 Condensed Matter;
 High Energy Physics  Phenomenology
 EPrint:
 LaTeX, 20 pages, 2 figures