Physical properties of a naked singularity

Details Physical properties of a naked singularity Physical properties of a naked singularity

Dec 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975a%26a....45...65d&link_type=abstract

Astronomy and Astrophysics, vol. 45, no. 1, Dec. 1975, p. 65-68. Research supported by the Consiglio Nazionale delle Ricerche.

Astronomy and Astrophysics

Astrophysics

12

Astronomical Models, Gravitational Collapse, Metric Space, Physical Properties, Singularity (Mathematics), Angular Momentum, Astrophysics, Black Holes (Astronomy), Mathematical Models, Particle Acceleration, Relativistic Particles, Transformations (Mathematics)

Scientific paper

Some physical properties of naked singularities which are relevant to astrophysics are examined. The repulsion exerted on a test particle approaching a Kerr-metric naked singularity is analyzed, and it is shown that the gravitational field of the singularity itself is responsible for this effect. The physical structure of an accretion disk around a ring singularity is investigated. It is found that the transformation from a Kerr black hole to a naked singularity should be accompanied by a burst of relativistic particles. It is noted that test-field perturbations cannot effect such a transformation and that no definite conclusion can be made as to whether non-test-field perturbations can bring about such a transformation. An analytic expression for the time needed to convert a naked singularity to a black hole by mass accretion along the axis of symmetry is obtained which indicates that massive singularities have much shorter lifetimes than lighter ones, depending on the external-particle density.

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