The white wall, a gravitational mirror

Abstract

We describe the exact solution of Einstein's equation corresponding to a static homogenous distribution of matter with plane symmetry lying below $z=0$. We study the geodesics in it and we show that this simple spacetime exhibits very curious properties. In particular, it has a repelling singular boundary and all geodesics bounce off it.

8 pages, 1 figure, final version

References in corpus (1)

• Taub's plane-symmetric vacuum spacetime revisited

Cited by in corpus (6)

• Quasi-local Casimir energy and vacuum buoyancy in a weak gravitational field
• 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
• Empty singularities in higher-dimensional Gravity