Abstract
A perturbation wave solution of the Robinson-Trautman equations is proved to be a perturbation of the Schwarzschild black hole which describes an outgoing axial gravitational wave and corresponds to a special case of Chandrasekhar's algebraically special perturbation of the Schwarzschild metric.
Similar content being viewed by others
References
Chandrasekhar, S. (1983).The Mathematical Theory of Black Holes (Oxford University Press, Oxford/New York).
Regge, T., and Wheeler, J. A. (1957).Phys. Rev. 108, 1063.
Zerilli, F. J. (1970).Phys. Rev. D2, 2141.
Schutz, B. F., and Will, C. M. (1985).Astrophys. J. 291, L33.
Leaver, E. W. (1986).Phys. Rev. D34, 384.
Sun, Y. H., and Price, R. H. (1988).Phys. Rev. D38, 1040.
Nollert, H.-P., and Schmidt, B. G. (1992).Phys. Rev. D45, 2617.
Chandrasekhar, S. (1984).Proc. Roy. Soc. Lond. A392, 1.
Andersson, N., and Lynnæus, S. (1992).Phys. Rev. D46, 4179.
Robinson, I., and Trautman, A. (1962).Proc. Roy. Soc. Lond. A265, 463.
Kramer, D., Stephani, H., MacCallum, M. A. H., and Herlt, E. (1980).Exact Solutions of Einstein's Field Equations (Cambridge University Press, Cambridge).
Newman, E. T., and Penrose, R. (1966).J. Math. Phys. 7, 863.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Qi, G., Schutz, B.F. Robinson-Trautman equations and Chandrasekhar's special perturbation of the Schwarzschild metric. Gen Relat Gravit 25, 1185–1188 (1993). https://doi.org/10.1007/BF00763761
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00763761