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Gravitational Perturbations of a Radiating Spacetime

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Abstract

This paper discusses the problem of gravitational perturbations of radiating spacetimes. We lay out the theoretical framework for describing the interaction of external gravitational fields with a radiating spacetime. This is done by deriving the field perturbation equations for a radiating metric. The equations are then specialized to a Vaidya spacetime. For the Hiscock ansatz of a linear mass model of a radiating blackhole the equations are found separable. Further, the resulting ordinary differential equations are found to admit analytic solutions. We obtain the solutions and discuss their characteristics.

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REFERENCES

  1. A. Einstein, L. Infeld, and B. Hoffmann, Ann. Phys. 39, 65 (1938).

    Google Scholar 

  2. T. Regge and J. Wheeler, Phys. Rev. 10, 1063 (1957).

    Google Scholar 

  3. S. Teukolsky, Astrophy. J. 185, 635, (1973).

    Google Scholar 

  4. C. W. Allen, Astrophysical Quantities (Pergamon, London, 1959).

    Google Scholar 

  5. N. Roos et al., Astrophys. J. 409, 130 (1993).

    Google Scholar 

  6. E. Newman and R. Penrose, J. Math. Phys. 3, 566 (1962).

    Google Scholar 

  7. S. Chandrasekhar, The Mathematical Theory of Black Holes (Oxford University Press, Oxford, 1983).

    Google Scholar 

  8. M. Carmeli and M. Kaye, Ann. Phys. 103, 97 (1977).

    Google Scholar 

  9. P. C. Vaidya, Proc. Indian Acad. Sci. A 33, 264 (1951).

    Google Scholar 

  10. P. C. Vaidya, Nature 171, 260 (1952).

    Google Scholar 

  11. R. Geroch, A. Held, and R. Penrose, J. Math. Phys. 14, 874 (1973).

    Google Scholar 

  12. W. A. Hiscock, Phys. Rev. D 23, 2813 (1981).

    Google Scholar 

  13. J. Goldberg et al., J. Math. Phys. 8, 2155 (1967).

    Google Scholar 

  14. Y. Kaminaga, Class. Quantum Grav. 7, 1135 (1990).

    Google Scholar 

  15. T. Christodoulakis, et al., J. Math. Phys. 35, 5 (1994).

    Google Scholar 

  16. W. Kaplan, Ordinary Differential Equations (Addison–Wesley, Reading, MA, 1958).

    Google Scholar 

  17. C. Misner, K. Thorne, and J. Wheeler, Gravitation (Freeman, San Francisco, 1973).

    Google Scholar 

  18. M. R. Mbonye, Ph. D. dissertation, 1996.

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Authors and Affiliations

  1. Department of Physics, University of Michigan, Ann Arbor, Michigan, 48109

    Manasse R. Mbonye

  2. Department of Physics, University of Connecticut, Storrs, Connecticut, 06269

    Ronald L. Mallett

Authors
  1. Manasse R. Mbonye
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  2. Ronald L. Mallett
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Mbonye, M.R., Mallett, R.L. Gravitational Perturbations of a Radiating Spacetime. Foundations of Physics 30, 747–774 (2000). https://doi.org/10.1023/A:1003789027892

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