Classical instability of a naked singularity

Details Classical instability of a naked singularity Classical instability of a naked singularity

Jun 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978natur.273..429d&link_type=abstract

Nature, vol. 273, June 8, 1978, p. 429-431. Research supported by the Consiglio Nazionale delle Ricerche; National Research Coun

Astronomy and Astrophysics

Astronomy

16

Black Holes (Astronomy), Singularity (Mathematics), Stellar Evolution, Stellar Mass Accretion, Angular Momentum, Circular Orbits, Energy Dissipation, Orbital Mechanics, Space-Time Functions

Scientific paper

A process whereby a naked singularity (similar in this instance to a black hole) can arise from a nonsingular source is outlined with attention to discontinuities in the Kerr metric. It is shown that a positive to negative discontinuity exists when the effective potential of the equatorial circular geodesics are in the small range, and that stable circular orbits can exist with negative energy. Thus, decay into a black hole proceeds inexorably once the accretion mechanism has exceeded certain values, but a naked singularity progressively slows down after accretion through an equatorial disk. Thus, a transition from a naked singularity to a black hole may be possible.

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