Perfect Fluid Spacetimes With Two Symmetries
Adam Szereszewski, Jacek Tafel
TL;DR
This paper introduces a method for solving Einstein's equations for perfect fluids with two symmetries, reducing the problem to a single nonlinear differential equation, and provides an example application.
Contribution
It presents a novel approach to simplify perfect fluid Einstein equations with two symmetries by reducing them to a single nonlinear differential equation.
Findings
Reduction of Einstein equations to a single nonlinear differential equation
Application of the method to a specific example
Potential for solving complex perfect fluid spacetimes
Abstract
A method of solving perfect fluid Einstein equations with two commuting spacelike Killing vectors is presented. Given a spacelike 2-dimensional surface in the 3-dimensional nonphysical Minkowski space the field equations reduce to a single nonlinear differential equation. An example is discussed.
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