Singular space-times

Details Singular space-times Singular space-times

Nov 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977gregr...8..915e&link_type=abstract

General Relativity and Gravitation, vol. 8, Nov. 1977, p. 915-953. Research supported by the Science Research Council and Max-P

Mathematics

153

Curvature, Singularity (Mathematics), Space-Time Functions, Astronomical Models, Classical Mechanics, Cosmology, Half Spaces, Relativity, Scalars, Set Theory

Scientific paper

A classification scheme is presented for the different kinds of finite boundary points and (classical) singularities of incomplete spacetimes. The classes include regular boundary points, singular boundary points, curvature singularities, quasi-regular singularities, scalar singularities, and nonscalar singularities. Examples of each class are provided to illustrate the different behavior of the geometry near each type of boundary point and singularity. Local, global, and maximal extensions are examined along with the existence of the various singularities, some of their unusual properties, and the effect of curvature singularities.

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