Naked singularities and Seifert's conjecture

Abstract

It is shown that for a general nonstatic spherically symmetric metric of the Kerr-Schild class several energy-momentum complexes give the same energy distribution as in the Penrose prescription, obtained by Tod. This result is useful for investigating the Seifert conjecture for naked singularities. The naked singularity forming in the Vaidya null dust collapse supports the Seifert conjecture. Further, an example and a counterexample to this conjecture are presented in the Einstein massless scalar theory.

RevTex, no figures, new results included, published in Physical Review D 60, 104041 (1999)

References in corpus (7)

• Janis-Newman-Winicour and Wyman solutions are the same
• Quasilocal quantities for GR and other gravity theories
• Gravitational Collapse and Cosmic Censorship
• Energy distribution of charged dilaton black holes
• Gravitational Waves around a Naked Singularity -- Odd-Parity Perturbation of Lemaitre-Tolman-Bondi Space-Time --
• Selfgravitating nonlinear scalar fields
• Comparing quantum black holes and naked singularities

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