A new class of plane symmetric solution
Hongsheng Zhang, Hyerim Noh, Zong-Hong Zhu
TL;DR
This paper introduces a novel class of static plane symmetric solutions to Einstein's field equations generated by perfect fluids, analyzing their properties, stability, and matching conditions with known metrics.
Contribution
It presents a new class of solutions, explores parameter constraints under energy conditions, and examines their stability and junction conditions.
Findings
Derived a new class of solutions with perfect fluid sources.
Analyzed parameter constraints under various energy conditions.
Discussed stability and matching conditions with Minkowski and Taub metrics.
Abstract
A new class of static plane symmetric solution of Einstein field equation generated by a perfect fluid source is put forward. A special family of this new solution is investigated in detail. The constraints on the parameters by different energy conditions are studied. The classical stability of this solution is discussed. The junction conditions matching to Minkowski metric and Taub metric are analyzed respectively.
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