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Effective spacetime and Hawking radiation from a moving domain wall in a thin film of 3He-A

  • T. A. Jacobson
  • G. E. Volovik
Condensed Matter

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.

PACS numbers

67.57.−z 04.20.Gz 67.70.+n 

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References

  1. 1.
    W. G. Unruh, Phys. Rev. Lett. 46, 1351 (1981); Phys. Rev. D 51, 2827 (1995).CrossRefADSGoogle Scholar
  2. 2.
    M. Visser, Class. Quantum Grav. 15, 1767 (1998).CrossRefADSMATHMathSciNetGoogle Scholar
  3. 3.
    T. A. Jacobson and G. E. Volovik, Phys. Rev. D 58, 064021 (1998).Google Scholar
  4. 4.
    N. B. Kopnin and G. E. Volovik, JETP Lett. 67, 140 (1998).CrossRefADSGoogle Scholar
  5. 5.
    A. M. R. Schechter, R. W. Simmonds, R. E. Packard, and J. C. Davis, to be published in Nature.Google Scholar
  6. 6.
    M. M. Salomaa and G. E. Volovik, Low Temp. Phys. 74, 319 (1989).Google Scholar
  7. 7.
    G. E. Volovik, JETP Lett. 67, 881 (1998).ADSGoogle Scholar
  8. 8.
    S. W. Hawking, Nature (London) 248, 30 (1974); Commun. Math. Phys. 43, 199 (1975).CrossRefADSGoogle Scholar
  9. 9.
    S. Corley and T. Jacobson, http://xxx.lanl.gov/abs/hep-th/9806203, submitted to Phys. Rev. D.
  10. 10.
    J. D. Bekenstein, Phys. Rev. D 7, 2333 (1973).ADSMathSciNetGoogle Scholar
  11. 11.
    M. J. Calderon and E. Bascones, http://xxx.lanl.gov/abs/cond-mat/9712033.
  12. 12.
    G. E. Volovik, JETP Lett. 63, 763 (1996).ADSGoogle Scholar

Copyright information

© MAIK "Nauka/Interperiodica" 1998

Authors and Affiliations

  • T. A. Jacobson
    • 1
  • G. E. Volovik
    • 2
    • 3
  1. 1.Department of PhysicsUniversity of MarylandCollege ParkUSA
  2. 2.Low Temperature LaboratoryHelsinki University of TechnologyHUTFinland
  3. 3.L. D. Landau Institute of Theoretical PhysicsMoscowRussia

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