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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Rahaman, F., Ghosh, P. Gravitational field of domain wall in Lyra geometry. Astrophys Space Sci 317, 127–132 (2008). https://doi.org/10.1007/s10509-008-9866-8
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DOI: https://doi.org/10.1007/s10509-008-9866-8