  We consider plane symmetric gravitational fields within the framework of
General Relativity in (D+1)-dimensional spacetime. Two classes of vacuum
solutions correspond to higher-dimensional generalizations of the Rindler and
Taub spacetimes. The general solutions are presented for a positive and
negative cosmological constant as the only source of the gravity. Matching
conditions on a planar boundary between two regions with distinct plane
symmetric metric tensors are discussed. An example is considered with Rindler
and Taub geometries in neighboring half-spaces. As another example, we discuss
a finite thickness cosmological constant slab embedded into the Minkowski,
Rindler and Taub spacetimes. The corresponding surface energy-momentum tensor
is found required for matching the exterior and interior geometries.
