General Relativity and Gravitation

, Volume 9, Issue 12, pp 1119–1128 | Cite as

An approximation scheme for scalar waves in a Schwarzschild geometry

  • W. E. Couch
  • R. J. Torrence
Research Articles


The Schwarzschild geometry is approximated by a certain set of conformally flat shells. As an example of the use of this approximation, the transmission coefficientT for spherical waves of monochromatic scalar radiation imploding on the black hole is calculated by solving the scalar wave equation within each conformally flat space and matching across the interfaces. The results agree with those of other authors for low and high frequencies and give values ofT at all intermediate frequencies.


Radiation Black Hole Wave Equation Differential Geometry Approximation Scheme 
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  1. 1.
    Kundt, W., and Newman, E. T. (1968).J. Math. Phys.,9, 2193.Google Scholar
  2. 2.
    Matzner, R. (1968).J. Math. Phys.,9, 163.Google Scholar
  3. 3.
    Persides, S. (1974).J. Math. Phys.,15, 885.Google Scholar
  4. 4.
    Sanchez, N. G. (1976).J. Math. Phys.,17, 688.Google Scholar
  5. 5.
    Unruh, W. G. (1976).Phys. Rev. D,14, 3251.Google Scholar
  6. 6.
    Price, R. H. (1972).Phys. Rev. D,5, 2439.Google Scholar
  7. 7.
    Bardeen, J. M., and Press, W. H. (1973).J. Math. Phys.,14, 7.Google Scholar
  8. 8.
    Chandrasekhar, S. (1975).Proc. R. Soc. London Ser. A,343, 289.Google Scholar
  9. 9.
    Persides, S. (1976).Lett. Nuovo Cimento,17, 444.Google Scholar
  10. 10.
    Vishveshwara, C. V. (1970).Nature,227, 937.Google Scholar
  11. 11.
    Parker, L. (1972).Phys. Rev. D,5, 2905.Google Scholar
  12. 12.
    Chrzanowski, P. L., Matzner, R. A., Sandberg, V. A., and Ryan, M. P. (1976).Phys. Rev. D,14, 317.Google Scholar
  13. 13.
    Teukolsky, S. A., and Press, W. H. (1974).Astrophys. J.,193, 443.Google Scholar
  14. 14.
    Chang, S. C., and Janis, A. I. (1976).J. Math. Phys.,17, 1432.Google Scholar
  15. 15.
    Chandrasekhar, S. (1976).Proc. R. Soc. London Ser. A,349, 1.Google Scholar
  16. 16.
    Detweiler, S. (1916).Proc. R. Soc. London Ser. A,349, 217.Google Scholar
  17. 17.
    Couch, W. E., Torrence, R. J., Janis, A. I., and Newman, E. T. (1968).J. Math. Phys.,9, 484.Google Scholar

Copyright information

© Plenum Publishing Corporation 1979

Authors and Affiliations

  • W. E. Couch
    • 1
  • R. J. Torrence
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of CalgaryCalgaryCanada

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