The Gravitational Field of a Plane Slab
Ricardo E. Gamboa Saravi
TL;DR
This paper presents an exact solution to Einstein's equations for a static, plane-symmetric matter distribution with constant density, providing insights into gravitational fields of such configurations.
Contribution
It introduces a new exact solution for the gravitational field of a plane slab with uniform density, expanding the understanding of static, plane-symmetric matter distributions in general relativity.
Findings
Derived the exact metric for the plane slab configuration
Matched the interior solution to vacuum exterior solutions
Enhanced understanding of gravitational fields in plane-symmetric matter distributions
Abstract
We discuss the exact solution of Einstein's equation corresponding to a static and plane symmetric distribution of matter with constant positive density located below matched to vacuum solutions.
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