Abstract
The (2+l)-dimensional Einstein-Maxwell equations are solved for a perfect fluid source with a positive electric charge distribution and nonzero vorticity. The solution describes the interior region of an extended charged object and is physically reasonable in the sense that the massenergy density and the pressure are both positive throughout the region. An unexpected feature is that the charged fluid produces no electric field in its proper frame of reference, so that the electromagnetic field is purely magnetic.
Similar content being viewed by others
References
Deser, S., and Mazur, P. O. (1985).Class. Quantum Grav. 2, L51.
Melvin, M. A. (1986).Class. Quantum Grav. 3, 117.
Barrow, J. D., Burd, A. B., and Lancaster, D. (1986).Class. Quantum Grav. 3, 551.
Gott III, J. R., Simon, J. Z., and Alpert, M. (1986).Gen. Rel. Grav. 18, 1019.
Nayak, C. (1991).Gen. Rel. Grav. 23, 981.
Williams, J. G. (1991).Gen. Rel. Grav. 23, 181.
Ellis, G. F. R. (1973). InCargése Lectures in Physics, 6 E. Schatzman, ed. (Gordon and Breach, New York).
Lapidus, I. R. (1982).Amer. J. Phys. 50, 155.
Lapidus, I. R. (1986). InProceedings of the Second Symposium on Two-Dimensional Science and Technology, A. K. Dewdney and I. R. Lapidus, eds. (Turing Omnibus, London, Canada).
Moreno, E., and Rivas, J. (1984).Eur. J. Phys. 5, 15.
Jackiw, R. (1990). InPhysics, Geometry and Topology — Proceedings of the Banff NATO Summer School (Banff, 14–25 August 1989), H. C. Lee, ed. (Plenum Press, New York).
Gerbert, P. de S. (1990).Nucl. Phys. B 346, 440.
Cornish, N. J., and Frankel, N. E. (1991).Phys. Rev. D 43, 2555.
Coley, A. A., and Tupper, B. O. J. (1983).Phys. Lett. 95A, 357.
Mitskiévič, N. V., and Tsalakou, G. A. (1991).Class. Quantum Grav. 8, 209.
Mitskiévič, N. V., (1969).Physical Fields in General Relativity (Nauka, Moscow, in Russian).
Schmutzer, E., and Plebański, J. (1977).Fortschr. der Phys. 25, 37.
Mitskiévič, N. V. (1990). InDifferential Geometry and its Applications, J. Janyška and D. Krupka, eds. (World Scientific, Singapore).
Vuorio, I. (1985).Phys. Lett. 163B, 91.
Giddings, S., Abbott, J., and Kuchař, K. (1984).Gen. Rel. Grav. 16, 751.
Giddings, S. (1984).Amer. J. Phys. 52, 1125.
Katz, J., and Horwitz, G. (1971).Nuovo Cimento B5, 59.
Cooperstock, F. I., and de la Cruz, V. (1978).Gen. Rel. Grav.,9, 835.
Tiwari, R. N., Rao, J. R., and Kanakamedala, R. R. (1984).Phys. Rev. D 30, 489.
Gautreau, R. (1985).Phys. Rev. D 31, 1860.
Bonnor, W. B., and Cooperstock, F. I. (1989).Phys. Lett. 139A, 442.
Israelit, M., and Rosen, N. (1991).Found. Phys. 21, 1237.
Cooperstock, F. I. (1991). InGravitation — A Banff Summer Institute (Banff, 12–25 August 1990), R. Mann and P. Wesson, eds. (World Scientific, Singapore).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Williams, J.G. Rotating charged fluid in 2+1 dimensions. Gen Relat Gravit 24, 1083–1090 (1992). https://doi.org/10.1007/BF00756948
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00756948