Abstract
We have obtained the exact solution of the equations of motion of a test particle near a thick domain walls for the case of Ricci tensor Rab = 0. From the solution it has been shown that the domain walls have repulsive gravitational fields.
Highlights
Properties of domain wall have been object of intense investigation for different reasons
Other reason is that the study of topological defects has wide applicability in many areas of physics
Domain walls are considered the most simple to study in the field of topological defects
Summary
Properties of domain wall have been object of intense investigation for different reasons. Domain walls are considered the most simple to study in the field of topological defects They correspond to solutions in one-to-one dimensions, which are extended in two spatial directions to form a wall structure. Many authors[5,6] have discussed non-static solutions of the Einstein scalar field equations for thick domain wall In these solutions the energy scalar is independent of time while the metric tensor depends on both space and time. Observers experience repulsion from the domain wall, and there is a horizon at finite proper distance from the defect’s core This horizon can be interpreted as a facet of the choice of coordinates, which usually use the flat space wall solution as a starting point, and impose planer symmetry on the domain wall spacetime. Assume that the scalar field Φ a function of z only
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