Some properties of a new class of plane symmetric solution

TL;DR

This paper explores the geodesic properties of a new plane symmetric solution to Einstein's equations, proposing it models a uniformly accelerated observer's field with a source composed of phantom matter, dust, and photons.

Contribution

It introduces and analyzes a novel class of static plane symmetric solutions, linking them to accelerated frames and proposing a specific matter source composition.

Findings

Solution can simulate a uniformly accelerated observer's field

Source matter may include phantom, dust, and photons

Geodesic properties support the solution's physical relevance

Abstract

A new class of static plane symmetric solution of Einstein field equation, which is judged as the source of Taub solution, was presented in our previous work. In this letter the properties of geodesics of this solution are explored. It is found that this solution can be an appropriate simulation to the field of a uniformly accelerated observer in Newton mechanics. The essence of the source is investigated. A phantom with dust and photon is suggested as the substance of the source matter.