Persistent curvature and cosmic censorship

Details Persistent curvature and cosmic censorship Persistent curvature and cosmic censorship

Dec 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gregr..16.1177n&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 16, Dec. 1984, p. 1177-1187.

Mathematics

Logic

7

Cosmology, Curvature, Naked Singularities, Relativity, Riemann Manifold, Space-Time Functions, Asymptotic Properties, Conjugate Points, Existence Theorems, Geodesic Lines

Scientific paper

A definition is given which quantifies the strength of persistent Riemann curvature along a null geodesic. A numerical value thereof is identified which ensures the existence of conjugate points on null geodesics of infinite length. A class of examples shows that no lesser value can suffice. This leads to a new theorem of cosmic censorship which identifies an upper bound on the persistent curvature strength with which any space-time may violate weak cosmic censorship. All previous theorems are superseded. Moreover, an improved logical construction simplifies interpretation.

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