Abstract
Written in terms of isotropic coordinatesr, t, the Schwarzschild metric as usually given is static, i.e., admits a timelike Killing vector for all values ofr andt. Therefore the region within the event horizon cannot be accounted for. This deficiency is remedied here, by finding the general spherically symmetric vacuum metric in isotropic coordinates.
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References
Abramowitz, M., and Stegun I. A., eds. (1965).Handbook of Mathematical Functions. Dover, New York.
Adler, R., Bazin, M., and Schiffer, M. (1965).Introduction to General Relativity. McGraw-Hill, New York.
Anderson, J. L. (1967).Principles of Relativity Physics. Academic Press, New York.
Buchdahl, H. A. (1981).Seventeen Simple Lectures on General Relativity Theory. John Wiley, New York.
Landau, L. D., and Lifshitz, E. M. (1975).The Classical Theory of Fields, 4th ed. Pergamon, Oxford.
Misner, C. W., Thorne, K. S., and Wheeler, J. A. (1973).Gravitation. Freeman, San Francisco.
Møller, C. (1952).The Theory of Relativity. Oxford University Press, Oxford.
Papapetrou, A. (1974).Lectures on General Relativity. Reidel, Boston.
Rindler, W. (1977).Essential Relativity, 2nd ed. Springer, New York.
Robertson, H. P., and Noonan, T. W. (1968).Relativity and Cosmology. Saunders, Philadelphia.
Synge, J. L. (1969).Relativity: The General Theory. North-Holland, Amsterdam.
Tolman, R. C. (1934).Relativity, Thermodynamics and Cosmology. Oxford University Press, Oxford.
Weinberg, S. (1972).Gravitation and Cosmology. John Wiley, New York.
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Buchdahl, H.A. Isotropic coordinates and Schwarzschild metric. Int J Theor Phys 24, 731–739 (1985). https://doi.org/10.1007/BF00670880
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DOI: https://doi.org/10.1007/BF00670880