Static plane symmetric relativistic fluids and empty repelling singular boundaries

Abstract

We present a detailed analysis of the general exact solution of Einstein's equation corresponding to a static and plane symmetric distribution of matter with density proportional to pressure. We study the geodesics in it and we show that this simple spacetime exhibits very curious properties. In particular, it has a free of matter repelling singular boundary and all geodesics bounce off it.

9 pages, 1 figure, accepted for publication in Classical and Quantum Gravity

References in corpus (1)

• Taub's plane-symmetric vacuum spacetime revisited

Cited by in corpus (6)

• Infinite slabs and other weird plane symmetric space-times with constant positive density
• The Gravitational Field of a Plane Slab
• Higher-dimensional perfect fluids and empty singular boundaries
• An alternative well-posedness property and static spacetimes with naked singularities
• Plane symmetric gravitational fields in (D+1)-dimensional General Relativity
• Static plane symmetric solutions in $f(Q)$ gravity