Gravitational Field of Static Thin Planar Walls in Weak-Field Approximation

Abstract

We investigate gravitational properties of thin planar wall solutions of the Einstein's equations in the weak field approximation. We find the general metric solutions and discuss the behavior of a particle placed initially at rest to one side of the plane. Moreover we study the case of non-reflection-symmetric solutions.

Comments: 12 pages, accepted for publication on IJMPD