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An outline of approach linking black-hole-evaporation with quantum-field effects in flat spacetime

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Abstract

The results of various calculations of the Casimir effect and of the effect of particle creation by accelerated mirrors are applied to the case of a collapse-formed black hole, which in consequence produces black-body radiation. Its temperature coincides exactly with Hawking's result. The difference between the vacuum expectation values of the energy-momentum tensors of scalar and electromagnetic fields near the horizon is found. Further investigation of expanding spheres in flat-space-time should disclose where the radiation is being created and what happens near the horizon.

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References

  1. Bardeen, J. M., Carter, B., and Hawking, S. W.: 1973,Comm. Math. Phys. 31, 161.

  2. Boyer, T. H.: 1968,Phys. Rev. 174, 1764.

  3. Boyer, T. H.: 1970,Ann. Phys. (N.Y.) 56, 474.

  4. Candelas, P.: 1980,Phys. Rev. D21, No. 8.

  5. Candelas, P. and Deutsch, D.: 1977,Proc. Roy. Soc. London A354, 79.

  6. Candelas, P. and Raine, D.: 1976,J. Math. Phys. 17, 2101.

  7. Casimir, H. B. G.: 1948,Proc. Kon. Ned. Akad. Wetenschap 51, 793.

  8. Davies, B.: 1972,J. Math. Phys. 13, 1324.

  9. Deryagin, B. V., Abrikosova, J. J., and Lifshitz, E. M.: 1956,Quart. Rev. 10, 295.

  10. De Witt, B. S.: 1975,Phys. Rept. C19, 297.

  11. Fabbri, R.: 1975,Phys. Rev. D12, 933.

  12. Fackerell, A.: 1971,Astrophys. J. 166, 197.

  13. Fulling, S. A.: 1977,Phys. Rev. D15, 2411.

  14. Hawking, S. W.: 1975,Comm. Math. Phys. 43, 199.

  15. Misner, Ch., Thorne, K., and Wheeler, J.: 1973,Gravitation, San Francisco.

  16. Nugayev, R. M. and Bashkov, V. I.: 1979,Phys. Letters 69A, 385.

  17. Ohanian, H. C.: 1977,Nuovo Cimento 41B, 88.

  18. Page, Don N.: 1975, Preprint OAP-419.

  19. Price, R. H.: 1972,Phys. Rev. D12, 2439.

  20. Sanchez, N.: 1978,Phys. Rev. D18, 1030.

  21. Sparnaay, M. J.: 1958,Physica 24, 751.

  22. Starobinsky, A. A.: 1973,Zh. Eksp. Teor. Fiz. 64, 48.

  23. Unruh, W.: 1976,Phys. Rev. D14, 870.

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Nugayev, R.M. An outline of approach linking black-hole-evaporation with quantum-field effects in flat spacetime. Astrophys Space Sci 91, 53–62 (1983). https://doi.org/10.1007/BF00650213

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Keywords

  • Radiation
  • Black Hole
  • Electromagnetic Field
  • Vacuum Expectation
  • Particle Creation