Gravitational field of domain wall in Lyra geometry

Details Gravitational field of domain wall in Lyra geometry Gravitational field of domain wall in Lyra geometry

2008-06-21

arxiv.org/abs/0806.3504v1

Astrophys.SpaceSci.317:127-132,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 6 figures; Submitted in Astrophysics and Space Science after minor revision

Scientific paper

10.1007/s10509-008-9866-8

In this paper, we study the domain wall with time dependent displacement vectors based on Lyra geometry in normal gauge i.e. displacement vector $f^*_i = [ \beta (t), 0,0,0]$. The field theoretic energy momentum tensor is considered with zero pressure perpendicular to the wall. We find an exact solutions of Einstein equation for a scalar field $\phi$ with a potential $V(\phi)$ 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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