Cylindrically symmetric matter distribution with a magnetic field in Einstein-Cartan theory |
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Authors: | A R Prasanna |
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Affiliation: | 1. Institüt für Theoretische Kernphysik der Universit?t Bonn, Nussallee 14-16, 53 Bonn, Germany
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Abstract: | In this paper we have extended our earlier studies of solutions of Einstein-Cartan equations to the case where a magnetic field co-exists with the matter distribution. We have obtained an exact solution of Einstein-Cartan-Maxwell equations representing a static cylinder of perfect fluid with an axial magnetic fieldH and a non-zero spin densityK, satisfying the equation of stateρ=γ(p r +p s −H 2/4π),γ being a constant. We notice that as a consequence of field equations there exists a direct relation between the pressurep, and the spin densityK, indicating that an increase in pressure would enormously increase the spin density. Alexander von Humboldt Research Fellow. |
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