Abstract
An event horizon for “relativistic” fermionic quasiparticles can be constructed in a thin film of superfluid 3He-A. The quasiparticles see an effective “gravitational” field which is induced by a topological soliton of the order parameter. Within the soliton the “speed of light” crosses zero and changes sign. When the soliton moves, two planar event horizons (black hole and white hole) appear, with a curvature singularity between them. Aside from the singularity, the effective spacetime is incomplete at future and past boundaries, but the quasiparticles cannot escape there because the nonrelativistic corrections become important as the blueshift grows, yielding “superluminal” trajectories. The question of Hawking radiation from the moving soliton is discussed but not resolved.
Similar content being viewed by others
References
W. G. Unruh, Phys. Rev. Lett. 46, 1351 (1981); Phys. Rev. D 51, 2827 (1995).
M. Visser, Class. Quantum Grav. 15, 1767 (1998).
T. A. Jacobson and G. E. Volovik, Phys. Rev. D 58, 064021 (1998).
N. B. Kopnin and G. E. Volovik, JETP Lett. 67, 140 (1998).
A. M. R. Schechter, R. W. Simmonds, R. E. Packard, and J. C. Davis, to be published in Nature.
M. M. Salomaa and G. E. Volovik, Low Temp. Phys. 74, 319 (1989).
G. E. Volovik, JETP Lett. 67, 881 (1998).
S. W. Hawking, Nature (London) 248, 30 (1974); Commun. Math. Phys. 43, 199 (1975).
S. Corley and T. Jacobson, http://xxx.lanl.gov/abs/hep-th/9806203, submitted to Phys. Rev. D.
J. D. Bekenstein, Phys. Rev. D 7, 2333 (1973).
M. J. Calderon and E. Bascones, http://xxx.lanl.gov/abs/cond-mat/9712033.
G. E. Volovik, JETP Lett. 63, 763 (1996).
Author information
Authors and Affiliations
Additional information
Pis’ma Zh. Éksp. Teor. Fiz. 68, No. 11, 833–838 (10 December 1998)
Published in English in the original Russian journal. Edited by Steve Torstveit.