Gravitational field of domain wall in Lyra geometry |
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Authors: | F Rahaman P Ghosh |
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Institution: | 1. Department of Mathematics, Jadavpur University, Kolkata, 700032, India
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Abstract: | In this paper, we study the domain wall with time dependent displacement vectors based on Lyra geometry in normal gauge i.e. displacement vector φ i * =β(t),0,0,0]. The field theoretic energy momentum tensor is considered with zero pressure perpendicular to the wall. We find an exact solutions of Einstein’s equation for a scalar field φ with a potential V(φ) describing the gravitational field of a plane symmetric domain wall. We have seen that the hyper surfaces parallel to the wall (z=constant) are three dimensional de-sitter spaces. It is also shown that the gravitational field experienced by test particle is attractive. |
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