Perfect fluid tori with uniform distribution of the specific angular momentum orbiting the Kerr‐de Sitter black holes or naked singularities are studied. Closed equipotential surfaces corresponding to stationary toroidal discs are allowed only in the spacetimes admitting stable circular geodesics. The last closed surface crosses itself in the cusp(s) enabling outflow(s) of matter from the torus due to the violation of hydrostatic equilibrium. The repulsive cosmological constant, Λ > 0, implies the existence of the outer cusp (with a stabilizing effect on the tori because of excretion, i.e., outflow of matter from the torus into the outer space) and the strong collimation of open equipotential surfaces along the rotational axis. Both the effects take place nearby so‐called static radius where the gravitational attraction is just balanced by the cosmic repulsion. The plus‐family discs (which are always corotating in the black‐hole backgrounds but can be counterrotating, even with negative energy of the fluid elements, in some naked‐singularity backgrounds) are thicker and more extended than the minus‐family ones (which are always counterrotating in all backgrounds). If parameters of the naked‐singularity spacetimes are very close to the parameters of extreme black‐hole spacetimes, the family of possible disc‐like configurations includes members with two isolated discs where the inner one is always a counterrotating accretion disc. Mass estimates for tori with nonrelativistic adiabatic equation of state give limits on their central mass‐density, for which the approximation of test fluid is adequate.
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3 November 2006
ALBERT EINSTEIN CENTURY INTERNATIONAL CONFERENCE
18-22 July 2005
Paris (France
Research Article|
November 03 2006
Basic properties of toroidal structures in Kerr‐de Sitter backgrounds
Zdeněk Stuchlík;
Zdeněk Stuchlík
Institute of Physics, Faculty of Philosophy and Science, Silesian University in Opava, Bezručovo nám. 13, CZ‐74601 Opava, Czech Republic
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Petr Slaný
Petr Slaný
Institute of Physics, Faculty of Philosophy and Science, Silesian University in Opava, Bezručovo nám. 13, CZ‐74601 Opava, Czech Republic
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AIP Conf. Proc. 861, 770–777 (2006)
Citation
Zdeněk Stuchlík, Petr Slaný; Basic properties of toroidal structures in Kerr‐de Sitter backgrounds. AIP Conf. Proc. 3 November 2006; 861 (1): 770–777. https://doi.org/10.1063/1.2399656
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