Plane Symmetric Domain Wall in Lyra Geometry

TL;DR

This paper derives general solutions for plane symmetric domain walls within Lyra geometry, including energy density and pressure, and discusses particle motion, extending previous specific results to more general cases.

Contribution

It provides the first comprehensive set of solutions for domain walls in Lyra geometry, generalizing earlier work and analyzing particle dynamics in this context.

Findings

Derived general solutions for domain walls in Lyra geometry

Expressed energy density and pressure for uniform and varying displacement fields

Connected new solutions to previous specific cases

Abstract

In this paper general solutions are found for domain walls in Lyra geometry in the plane symmetric spacetime metric given by Taub. Expressions for the energy density and pressure of domain walls are derived in both cases of uniform and time varying displacement field $\beta$. It is also shown that the results obtained by Rahaman et al [IJMPD, {\bf 10}, 735 (2001)] are particular case of our solutions. Finally, the geodesic equations and acceleration of the test particle are discussed.