Original scientific paper
Inhomogeneous perfect fluid universe with electromagnetic field in Lyra geometry
A. Pradhan
; Department of Mathematics, Hindu P. G. College, Zamania-232 331, Ghazipur, U. P., India
P. Mathur
; Department of Mathematics, Institute of Engineering and Technology, Alwar-301 001, Rajasthan, India
Abstract
A new class of cylindrically symmetric inhomogeneous cosmological models for perfect fluid distribution with electromagnetic field is obtained in the context of Lyra’s geometry. We obtained two types of solutions by considering the uniform as well as time dependent displacement field. The source of the magnetic field is due to an electric current produced along the z-axis. Only F12 is a non-vanishing component of the electromagnetic field tensor. To get the deterministic solution, it has been assumed that the expansion θ in the model is proportional to the shear σ. It has been found that the solutions are consistent with the recent observations of type Ia supernovae and that the displacement vector β(t) affects entropy. Physical and geometric aspects of the models are also discussed in the presence and absence of magnetic field.
Keywords
cosmology; cylindrically symmetric universe; inhomogeneous models; Lyra’s geometry
Hrčak ID:
304588
URI
Publication date:
1.11.2009.
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