Classical and quantum models of strong cosmic censorship

Details Classical and quantum models of strong cosmic censorship Classical and quantum models of strong cosmic censorship

Apr 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gregr..15..309m&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 15, April 1983, p. 309-314.

Mathematics

Logic

1

Cosmology, Gravitation Theory, Naked Singularities, Quantum Theory, Relativity, Space-Time Functions, Cauchy Problem, Einstein Equations, Fluctuation Theory, Numerical Stability, Perturbation Theory

Scientific paper

The cosmic censorship conjecture states that naked singularities should not evolve from regular initial conditions in general relativity. In its strong form the conjecture asserts that space-times with Cauchy horizons must always be unstable and thus that the generic solution of Einstein's equations must be inextendible beyond its maximal Cauchy development. In this paper we shall show that one can construct an infinite-dimensional family of extendible cosmological solutions similar to Taub-NUT spacetime. However, we shall also show that each of these solutions is unstable in precisely the way demanded by strong cosmic censorship. Finally we show that quantum fluctuations in the metric always provide (though in an unexpectedly subtle way) the 'generic perturbations' which destroy the Cauchy horizons in these models.

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