Some properties and problems of accretion disks about Kerr naked singularities

Details Some properties and problems of accretion disks about Kerr naked singularities Some properties and problems of accretion disks about Kerr naked singularities

Jan 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979apj...227..596r&link_type=abstract

Astrophysical Journal, Part 1, vol. 227, Jan. 15, 1979, p. 596-599.

Astronomy and Astrophysics

Astronomy

2

Black Holes (Astronomy), Circular Orbits, Stellar Mass Accretion, Angular Momentum, Equatorial Orbits, Hydrodynamic Equations, Particle Energy, Particle Mass, Quantum Theory, Space-Time Functions

Scientific paper

Disk accretion onto a Kerr naked singularity is investigated by examining the stable circular equatorial orbits of a test particle in a Kerr background. It is assumed that there is a mechanism (e.g., viscous stress) at large radii that disperses energy and transfers angular momentum outward and mass inward, while maintaining the accretion flow in quasi-geodesic circular orbits. The results obtained show that: (1) the radius and energy of the last stable orbit increase as the ratio of the angular-momentum density and mass (a/M) of the naked singularity increases; (2) for a/M less than the square root of (32/27) there is a region where the energy becomes negative, suggesting that more energy than the mass-energy of a test particle can be extracted; (3) pathologies related to the definition of positive and negative energy states exist for a/M between unity and the square root of (32/27); and (4) the entire mass-energy of a test particle can be extracted for a/M equal to the square root of (32/27).

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