Symmetry properties of a charged fluid in the general theory of relativity |
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Authors: | A M Mukhamedov |
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Institution: | (1) V. I. Ulyanov-Lenin Kazan State University, USSR |
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Abstract: | The problem of specifying the symmetry properties of a charged fluid in space-time V4, which has a definite group of motions, is considered. It is shown that if nonempty spacetime V4 with an energy-momentum tensor for the charged fluid has symmetry (i.e., admits a group of motions), then the mass density, the pressure, and the four-velocity of the fluid inherits this symmetry, and for an electromagnetic field the relationL
f
ij
=7.*f
ij
is satisfied. The necessary and sufficient conditions are found so that =0 in the case of a one-parameter group. Then additional relationships between and the structure constants are obtained in the case of an r-parameter group. It is shown that under certain conditions the symmetry properties obtained for charged matter are necessary and sufficient conditions for the symmetry of space-time V4.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 113–117, November, 1978. |
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