Unstable singularities in general relativity

Details Unstable singularities in general relativity Unstable singularities in general relativity

Sep 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cqgra...2..755v&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 2, Sept. 1, 1985, p. 755-773.

Mathematics

7

Gravitation Theory, Relativity, Singularity (Mathematics), Sobolev Space, Cauchy Integral Formula, Set Theory, Space-Time Functions

Scientific paper

It is shown that, arbitrarily close to the Cauchy data that a 'conical' singularity induces on a surface, there exist Cauchy data which are the limit of a family of regular Cauchy data, the limit of whose developments is a spacetime with a curvature singularity (i.e., not just a quasi-regular singularity). This result is used to formulate a notion of stability for quasi-regular singularities. It is shown that certain 'cone-like' singularities are unstable in this sense.

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