Invariant Solutions of Inhomogeneous Universe with Electromagnetic Field in Lyra Geometry |
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Authors: | Ahmad T Ali F Rahaman A Mallick |
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Institution: | 1. King Abdulaziz University, Faculty of Science, Department of Mathematics, PO Box 80203, Jeddah, 21589, Saudi Arabia 2. Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, 11884, Cairo, Egypt 3. Department of Mathematics, Jadavpur University, Kolkata, 700 032, West Bengal, India
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Abstract: | The present study deals with the cylindrically symmetric inhomogeneous cosmological models for perfect fluid distribution with electro-magnetic field in Lyra geometry. Lie group analysis has been used to identify the generators (symmetries) that leave the given system of partial differential equations (field equations) invariant. With the help of canonical variables associated with these generators, the assigned system of partial differential equations is reduced to an ordinary differential equations whose simple solutions provide nontrivial solutions of the original system. They obtained a new class of invariant (similarity) solutions by considering the potentials of metric and displacement field are functions of coordinates t and x. The physical behavior of the derived models are also discussed. |
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