Naked singularities in initial surfaces

Details Naked singularities in initial surfaces Naked singularities in initial surfaces

Mar 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phrvd..41.1867w&link_type=abstract

Physical Review D (Particles and Fields), Volume 41, Issue 6, 15 March 1990, pp.1867-1874

Physics

12

Fundamental Problems And General Formalism, Exact Solutions

Scientific paper

We consider a singular hypersurface Σ, carrying time-symmetric initial data for the Einstein equations. We assume that the area of the arbitrary two-sphere, enclosing the singularity, is bounded from below by some positive constant. A conformally flat ``ring,'' or ``pancake'' singularities having sufficiently large Euclidean radius, can serve as examples. We prove that if the Arnowitt-Deser-Misner mass associated with such a hypersurface is small enough, then this singularity is naked (i.e., it is not entirely surrounded by an apparent horizon). We suggest that a similar effect appears also for general (i.e., non-time-symmetric) hypersurfaces.

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