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.
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References
Ghosh R and Sengupta R 1965Nuovo Cimento 38 (4) 1579
Prasanna A R 1975a Phys. Rev. D11 2076
Prasanna A R 1975b Phys. Rev. D11 2083
Prasanna A R 1975c Phys. Lett. A 54 (1), 17
Trautman A 1965Nature 242 (7) 82
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Alexander von Humboldt Research Fellow.
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Prasanna, A.R. Cylindrically symmetric matter distribution with a magnetic field in Einstein-Cartan theory. Pramana - J Phys 5, 289–293 (1975). https://doi.org/10.1007/BF02845953
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DOI: https://doi.org/10.1007/BF02845953