Plane symmetric inhomogeneous perfect fluid universe with electromagnetic field in Lyra geometry |
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| Authors: | Anirudh Pradhan Shyam Sundar Kumhar |
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| Institution: | (1) Department of Mathematics, Hindu Post-graduate College, Zamania, 232 331, Ghazipur, India |
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| Abstract: | A new class of plane-symmetric inhomogeneous cosmological models of perfect fluid distribution with electro-magnetic field
based on Lyra’s geometry is obtained by considering a time dependent displacement field. The source of the magnetic field
is due to an electric current produced along the z-axis. Only F
12 is a non-vanishing component of electromagnetic field tensor. To get the deterministic solutions, the free gravitational
field is assumed to be of Petrov type-II non-degenerate. It has been found that the displacement vector β(t) behaves like cosmological term Λ which is consistent with the recent observations of type Ia supernovae. It is also observed
that β(t) affects entropy. Some geometric and physical behaviour of the models are also discussed in presence of magnetic field.
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| Keywords: | Cosmology Electromagnetic field Inhomogeneous universe Lyra’ s geometry |
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