Who's Afraid of Naked Singularities?

Details Who's Afraid of Naked Singularities? Who's Afraid of Naked Singularities?

1999-07-03

arxiv.org/abs/gr-qc/9907009v1

Phys.Rev. D60 (1999) 104028

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, 3 figures, Accepted for publication in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.60.104028

To probe naked spacetime singularities with waves rather than with particles we study the well-posedness of initial value problems for test scalar fields with finite energy so that the natural function space of initial data is the Sobolev space. In the case of static and conformally static spacetimes we examine the essential self-adjointness of the time translation operator in the wave equation defined in the Hilbert space. For some spacetimes the classical singularity becomes regular if probed with waves while stronger classical singularities remain singular. If the spacetime is regular when probed with waves we may say that the spacetime is `globally hyperbolic.'

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