On the sources of static plane symmetric vacuum space-times

Abstract

The static vacuum plane spacetimes are considered, which have two non-trivial solutions: The Taub solution and the Rindler solution. Imposed reflection symmetry, we find that the source for the Taub solution does not satisfy any energy conditions, which is consistent with previous studies, while the source for the Rindler solution satisfies the weak and strong energy conditions (but not the dominant one). It is argued that the counterpart of the Einstein theory to the gravitational field of a massive Newtonian plane should be described by the Rindler solution, which represents also a uniform gravitational field.

References in corpus (2)

• On parameters of the Levi-Civita solution
• Taub's plane-symmetric vacuum spacetime revisited

Cited by in corpus (15)

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• Levi-Civita Solutions Coupled with Electromagnetic Fields
• Some Plane Symmetric Inhomogeneous Cosmological Models in the Scalar-Tensor Theory of Gravitation
• Plane Symmetric Inhomogeneous Cosmological Models with a Perfect Fluid in General Relativity
• Gyroscope precession in cylindrically symmetric spacetimes
• A new class of plane symmetric solution
• Trapping photons by a line singularity
• Quasi-uniform gravitational field of a disk revisited
• Static Cylindrical Matter Shells
• $C$-field cosmological models: revisited
• Multiple Photonic Shells Around a Line Singularity
• Static plane symmetric solutions in $f(Q)$ gravity