Exact static solutions for fluid gravitating balls in homogeneous coordinates
A.M.Baranov, R.V.Bikmurzin
TL;DR
This paper presents two new classes of exact static solutions to Einstein's equations for a fluid-filled gravitating ball, extending Schwarzschild's interior solution within a homogeneous coordinate framework.
Contribution
The authors introduce novel classes of exact solutions for static fluid spheres in Einstein's equations, generalizing Schwarzschild's interior solution in homogeneous coordinates.
Findings
Two new classes of solutions derived
Schwarzschild's interior solution is a special case
Solutions applicable to Pascal perfect fluid
Abstract
Two new classes of exact interior static solutions of the Einstein equations in homogeneous coordinates for a gravitating ball filled by a Pascal perfect fluid are obtained. Schwarzschild's interior solution of is a special case of these solutions.
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Taxonomy
TopicsGeophysics and Gravity Measurements · Cosmology and Gravitation Theories · Navier-Stokes equation solutions