The Gravitational Field of a Plane Slab

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 $z=0$ matched to vacuum solutions.

24 pages, 5 figures, accepted for publication in the International Journal of Modern Physics A

References in corpus (3)

• Static plane symmetric relativistic fluids and empty repelling singular boundaries
• The white wall, a gravitational mirror
• Infinite slabs and other weird plane symmetric space-times with constant positive density

Cited by in corpus (5)

• Quasi-uniform gravitational field of a disk revisited
• Higher-dimensional perfect fluids and empty singular boundaries
• An alternative well-posedness property and static spacetimes with naked singularities
• Empty singularities in higher-dimensional Gravity
• Static plane symmetric solutions in $f(Q)$ gravity