Abstract
For the plane symmetry we have found the electro-vacuum exact solutions of the Einstein-Maxwell equations and we have shown that one of them is equivalent to the McVittie solution of a charged infinite thin plane. The analytical extension has been accomplished and the Penrose conformal diagram has been obtained as well.
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References
J. Bicak and A. Pravdova: J. Mathem. Phys. 39 (1998) 6011.
J. Horsky and N.V. Mitskievich: Czech. J. Phys. B 39 (1989) 957.
M. Cataldo, J. Horsky, and N.V. Mitskievich: in Proc. Conf. on Differential Geometry and Its Applications, Brno 1989 (Ed. D. Krupka). World Scientific, Singapore, 1990, p. 297.
J. Novotny and J. Horsky: in Proc. Conf. on Differential Geometry and its Applications, Opava (Ed. D. Krupka). Silesian University Press, Opava, 1993, p. 221.
P.A. Amundsen and P. GrPn: Phys. Rev. D.27 (1983) 1731.
G.C. McVittie: Proc. R. Soc. (London) 124 (1929) 366.
S.W. Hawking and G.F.R. Ellis: The Large Scale Structure of Space-Time, Cambridge University Press, 1973.
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Fikar, J., Horský, J. Generating conjecture and Einstein-Maxwel field of plane symmetry. Czechoslovak Journal of Physics 49, 1423–1432 (1999). https://doi.org/10.1023/A:1021153827506
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DOI: https://doi.org/10.1023/A:1021153827506