Plane Symmetric, Cylindrically Symmetric and Spherically Symmetric Vacuum Solutions of Einstein Field Equations

TL;DR

This paper derives various symmetric vacuum solutions to Einstein's field equations, including some novel solutions, to enhance understanding of gravitational waves and spacetime structures.

Contribution

It introduces new symmetric vacuum solutions of Einstein's equations, expanding the known solution space for gravitational and spacetime studies.

Findings

New symmetric vacuum solutions identified

Solutions applicable to gravitational wave analysis

Enhanced understanding of spacetime symmetries

Abstract

In this paper we present Plane symmetric, Cylindrically Symmetric and Spherically Symmetric Black hole or Vacuum solutions of Einstein Field Equations(EFEs). Some of these solutions are new which we have not seen in the literature. This calculation will help us in understanding the gravitational wave and gravitational wave spacetimes.