Parametrical embeddings of static spherically symmetric spacetimes

Details Parametrical embeddings of static spherically symmetric spacetimes Parametrical embeddings of static spherically symmetric spacetimes

Mar 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991gregr..23..367s&link_type=abstract

General Relativity and Gravitation, Volume 23, Issue 3, pp.367-375

Physics

Scientific paper

An analysis for a direct calculation of the embeddings in flat spacetimes of static spherically symmetric manifolds with Lorentz metric is worked out. For each manifold with non-constant curvature we arrive at a parametrical embedding which represents an infinite geometrical multiplicity of the embedded surface. The embeddings of manifolds with constant curvature are not parametrical and can be determined univocally. Examples concerning Schwarzschild, Reissner-Weyl, de Sitter and anti-de Sitter spacetimes are considered.

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