Journal of Statistical Physics

, Volume 77, Issue 1–2, pp 223–228 | Cite as

The membrane picture of Hawking radiation

  • D. J. Raine
  • D. W. Sciama


The effect of a black hole on the classical physics of exterior electromagnetic fields can be expressed by replacing the black hole by a conducting membrane. We show that when we introduce quantum mechanics the currents in this membrane must also satisfy a quantum Langevin equation and that this, together with the nonzero transmission coefficient for the potential barrier around the hole in the membrane picture, gives rise to the Hawking radiation.

Key Words

Black holes Hawking radiation stretched horizon 


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  1. 1.
    S. Chandrasekhar,The Mathematical Theory of Black Holes (Oxford University Press, Oxford, 1983).Google Scholar
  2. 2.
    T. Damour,Phys. Rev. D. 18:3598 (1978).CrossRefGoogle Scholar
  3. 3.
    J. A. H. Futterman, F. A. Handler, and R. A. Matzner,Scattering from Black Holes (Cambridge University Press, Cambridge, 1989).Google Scholar
  4. 4.
    P. G. Grove,Class. Quant. Gravity 7:1353 (1990).CrossRefGoogle Scholar
  5. 5.
    S. Massar, R. Parentani, and R. Brout,Class. Quant. Gravity 10:385 (1993).CrossRefGoogle Scholar
  6. 6.
    D. J. Raine, D. W. Sciama, and P. G. Grove,Proc. R. Soc. A. 435:205 (1991).Google Scholar
  7. 7.
    L. Susskind, L. Thorlacius, and J. Uglum,Phys. Rev. D. 48:3743 (1993).CrossRefGoogle Scholar
  8. 8.
    K. S. Thorne, R. H. Price, and D. A. MacDonald,Black Holes, The Membrane Paradigm (Yale University Press, New Haven, Connecticut, 1986).Google Scholar
  9. 9.
    R. L. Znajek,Monthly Notices R. Astron. Soc. 185:833 (1978).Google Scholar

Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • D. J. Raine
    • 1
  • D. W. Sciama
    • 2
    • 3
  1. 1.Astronomy GroupUniversity of LeicesterLeicesterUK
  2. 2.SISSA & ICTPTriesteItaly
  3. 3.Department of PhysicsUniversity of OxfordOxfordUK

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