Naked singularities in initial surfaces

Journal Article · Thu Mar 15 04:00:00 EST 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.41.1867· OSTI ID:7000400

Wojtkiewicz, J ^[1]

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1. Institute for Theoretical Physics, Polish Academy of Sciences, Aleja Lotnikow 32/46, 02-668 Warsaw, Poland (PL)

We consider a singular hypersurface {Sigma}, 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.

• OSTI ID: 7000400
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 41:6; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BLACK HOLES
BOUNDARY CONDITIONS
CONSTRAINTS
DIFFERENTIAL EQUATIONS
EINSTEIN FIELD EQUATIONS
EQUATIONS
EUCLIDEAN SPACE
FIELD EQUATIONS
LAPLACE EQUATION
MASS
MATHEMATICAL SPACE
METRICS
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS
RIEMANN SPACE
SINGULARITY
SPACE
TENSORS