Fermionic microstates within the Painlevé-Gullstrand black hole

W. G. Unruh, Phys. Rev. Lett. 46, 1351 (1981); Phys. Rev. D 51, 2827 (1995).

T. Jacobson and G. E. Volovik, Phys. Rev. D 58, 064021 (1998).

L. J. Garay, J. R. Anglin, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 85, 4643 (2000); Phys. Rev. A 63, 023611 (2001).

G. Chapline, E. Hohlfeld, R. B. Laughlin, and D. I. Santiago, Philos. Mag. B 81, 235 (2001).

R. Laughlin and D. Pines, Proc. Natl. Acad. Sci. USA 97, 28 (2000).

G. E. Volovik, Phys. Rep. 351, 195 (2001).

S. W. Hawking, Nature 248, 30 (1974).

G. E. Volovik, Phys. Lett. A 142, 282 (1989).

S. Corley and T. Jacobson, Phys. Rev. D 54, 1568 (1996).

S. Corley, Phys. Rev. D 57, 6280 (1998).

S. Corley and T. Jacobson, Phys. Rev. D 59, 124011 (1999).

A. Starobinsky, Pis’ma Zh. Éksp. Teor. Fiz. 73, 415 (2001) [JETP Lett. 73, 371 (2001)].

T. Jacobson, gr-qc/0110079; T. Jacobson and D. Mattingly, Phys. Rev. D 63, 041502 (2001); gr-qc/0007031.

P. O. Mazur and E. Mottola, gr-qc/0109035.

M. Mohazzab, J. Low Temp. Phys. 121, 659 (2000).

G. E. Volovik, Pis’ma Zh. Éksp. Teor. Fiz. 70, 717 (1999) [JETP Lett. 70, 711 (1999)].

P. Painlevé and C. R. Hebd, Acad. Sci., Paris 173, 677 (1921); A. Gullstrand, Ark. Mat., Astron. Fys. 16, 1 (1922).

P. Kraus and F. Wilczek, Mod. Phys. Lett. A 9, 3713 (1994).

K. Martel and E. Poisson, Am. J. Phys. 69, 476 (2001).

R. Schützhold, Phys. Rev. D 64, 024029 (2001).

M. K. Parikh and F. Wilczek, Phys. Rev. Lett. 85, 5042 (2000).

C. Doran, Phys. Rev. D 61, 067503 (2000).

M. Visser, Class. Quantum Grav. 15, 1767 (1998).

S. Liberati, S. Sonego, and M. Visser, Class. Quantum Grav. 17, 2903 (2000).

M. Stone, cond-mat/0012316.

M. Sakagami and A. Ohashi, gr-qc/0108072.

L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 2: The Classical Theory of Fields (Nauka, Moscow, 1973; Pergamon, Oxford, 1975).

G. E. Volovik, Pis’ma Zh. Éksp. Teor. Fiz. 73, 721 (2001) [JETP Lett. 73, 637 (2001)].

S. Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (Wiley, New York, 1972).

W. H. Zurek and Don N. Page, Phys. Rev. D 29, 628 (1984).

G. ’t Hooft, Nucl. Phys. (Proc. Suppl.) 68, 174 (1998).

A. D. Sakharov, Dokl. Akad. Nauk SSSR 177, 70 (1967) [Sov. Phys. Dokl. 12, 1014 (1968)].

T. Jacobson, gr-qc/9404039.

J. D. Bekenstein, in Proceedings of the 8th Marcel Grossman Meeting, Ed. by Tsvi Piran (World Sci., Singapore, 1999); gr-qc/9710076.

H. A. Kastrup, Phys. Lett. B 413, 267 (1997).

V. F. Mukhanov, Pis’ma Zh. Éksp. Teor. Fiz. 44, 78 (1986) [JETP Lett. 44, 63 (1986)].