2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/204048In this paper, we study the domain wall with time dependent displacement vectors based on Lyra geometry in normal gauge i.e. displacement vector $f^*_i = [ β(t), 0,0,0]$. The field theoretic energy momentum tensor is considered with zero pressure perpendicular to the wall. We find an exact solutions of Einstein 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.11 pages, 6 figures; Submitted in Astrophysics and Space Science after minor revisionGeneral Relativity and Quantum Cosmologytext