Static Perfect Fluids With Symmetries
Marcelo Barboza, Willian Tokura, Levi Adriano
TL;DR
This paper uses symmetries to find exact solutions to Einstein's equations for static perfect fluids with spatial sections conformal to constant curvature spaces.
Contribution
It introduces a method leveraging symmetries to derive explicit solutions for static perfect fluid spacetimes with specific geometric properties.
Findings
Derived new exact solutions to Einstein's equations.
Identified conditions for perfect fluids with conformal spatial sections.
Enhanced understanding of static perfect fluid configurations.
Abstract
In this paper we utilize symmetries in order to exhibit exact solutions to Einstein's equation of a perfect fluid on a static manifold all of whose spatial factor belongs to the conformal class of a Riemannian space of constant curvature.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Advanced Differential Geometry Research