Spacetime geometry of the metric tensor of von Kottler, Weyl and Trefftz
Abstract
The spacetime manifold with the metric tensor of Kottler, Weyl and Trefftz (KWT) is analytically extended for three ranges and the transformations into Kruskalcoordinates are given. The conformal infinity is represented by Penrose diagrams. Finally embeddings in threespace are shown of surfaces with KWTmetric in cylindrical and spherical coordinates.
 Publication:

Astronomische Nachrichten
 Pub Date:
 1980
 DOI:
 10.1002/asna.2103010304
 Bibcode:
 1980AN....301..135G
 Keywords:

 Cosmology;
 Gravitational Fields;
 Metric Space;
 SpaceTime Functions;
 Tensors;
 Coordinate Transformations;
 Geometry;
 Graphs (Charts);
 Manifolds (Mathematics);
 Mass;
 Null Zones;
 Astrophysics