Persistent curvature and cosmic censorship

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 le...

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Bibliographic Details
Published in:General relativity and gravitation 1984-12, Vol.16 (12), p.1177-1187
Main Author: NEWMAN, R. P. A. C
Format: Article
Language:English
Subjects:
Exact sciences and technology
General relativity and gravitation
Physics
Quantum gravity
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Summary: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 All previous theorems are superseded.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.
ISSN:0001-7701
1572-9532
DOI:10.1007/BF00760240