Instabilities of certain empty Robertson-Walker space-times

Details Instabilities of certain empty Robertson-Walker space-times Instabilities of certain empty Robertson-Walker space-times

Mar 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981gregr..13..257n&link_type=abstract

General Relativity and Gravitation, vol. 13, Mar. 1981, p. 257-282. Research supported by the Science Research Council.

Mathematics

Logic

Gravitational Fields, Perturbation Theory, Relativity, Space-Time Functions, Spatial Distribution, Universe, Astronomical Models, Cosmology, Galaxies, Geodesy, Isotropy, Space Density

Scientific paper

Results are established concerning perturbations of each empty Robertson-Walker space-time (M,g) with a nonvanishing cosmological constant. The perturbed space-times have the general form M-tilde, g-tilde) with M-tilde an extension of M, and g-tilde lying in an open neighborhood of g in a type of W to the m topology. These results indicate that large classes of such perturbations give rise to space-times which suffer from one of two types of incompleteness.

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