Astronomy and Astrophysics – Astronomy
Scientific paper
May 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986cqgra...3..267k&link_type=abstract
Classical and Quantum Gravity (ISSN 0264-9381), vol. 3, May 1, 1986, p. 267-280.
Astronomy and Astrophysics
Astronomy
44
Cosmology, Einstein Equations, Space-Time Functions, Asymptotic Methods, Black Holes (Astronomy), Naked Singularities, Singularity (Mathematics)
Scientific paper
An attempt is made to formulate the cosmic censorship hypothesis put forward by Penrose as a theorem which could be subject to a mathematical proof. It is proved that a weakly asymptotically simple and empty spacetime must be future asymptotically predictable if the energy and the strong causality conditions hold and either all singularities are of Tipler's strong curvature type and once singularity occurs there exists a marginally outgoing null geodesic or each singularity is preceded by the occurrence of a closed trapped surface. The marginally outgoing null geodesics may not be admitted by general naked singularities. However, it is shown that they occur if on the Cauchy horizon the global hyperbolicity is violated in such a way that causal simplicity also does not hold. This means that a wide class of nakedly singular spacetimes is considered. This result gives some support to the validity of Penrose's hypothesis.
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