Abstract
A scheme is presented by which we can obtain static electrovac exterior solutions from the stationary gravitational fields given by Kerr and Tomimatsu and Sato. A five-parameter solution of the combined Einstein-Maxwell equations is given that describes a source containing mass, electric charge, magnetic dipole, higher multipole moments of all three kinds and angular momentum. These are generated by using Kinnersley's method from Wang's electrovac solutions, which, in turn, were generated from the gravitational fields of Tomimatsu and Sato for δ=2–3. All the solutions are asymptotically flat.
Similar content being viewed by others
References
Esposito, F. P., and Witten, L. (1973).Phys. Rev. D,8, 3302.
Kinnersley, W. (1973).J. Math. Phys.,14, 651.
Misra, R. M., Pandey, D. B., Srivastava, D. C., and Tripathy, S. N. (1972).Phys. Rev.,7, 1587.
Ward, J. P. (1974).J. Phys. A,7, L145.
Bonnor, W. B. (1966).Z. Phys.,190, 444.
Kerr, R. P. (1963).Phys. Rev. Lett.,11, 237.
Ernst, F. J. (1968).Phys. Rev.,167, 1175.
Tomimatsu, A., and Sato, H. (1973).Prog. Theor. Phys. (Japan),50, 95.
Wang, M. Y. (1974).Phys. Rev. D,9, 1835.
Kramer, D., and Neugebauer, G. (1968).Commun. Math. Phys.,10, 132.
Esposito, F. P., and Witten, L. (1975).Gen. Rel. Grav.,6, 387.
Ernst, F. J. (1968).Phys. Rev.,168, 1415.
Newman, E. T., Tanburino, L., and Unti, T. J. (1963).J. Math. Phys.,4, 915.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Das, K.C., Banerji, S. Axially symmetric stationary solutions of Einstein-Maxwell equations. Gen Relat Gravit 9, 845–855 (1978). https://doi.org/10.1007/BF00760873
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00760873