Two mass conjectures on axially symmetric black hole-disk systems

Kulczycki, Wojciech; Mach, Patryk

doi:10.1103/physrevd.99.024004

Cited by 7 publications

(9 citation statements)

References 29 publications

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“…The formulation used in this paper is based on a scheme developed in [13], and used (with some modifications) also in [14][15][16]. In this section we only give a brief description of the key elements of the formalism.…”

Section: Stationary Toroids Around Black Holesmentioning

confidence: 99%

“…Our numerical setup follows the formalism of [13]. It was developed further in three papers co-authored by two of us [14][15][16], where we were mostly focused on the implementation of the Keplerian rotation in self-gravitating configurations. First stationary solutions representing magnetised self-gravitating perfect fluid tori around black holes were constructed in [17].…”

Section: Introductionmentioning

confidence: 99%

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Self-gravitating perfect-fluid tori around black holes: Bifurcations, ergoregions, and geometrical properties

2020

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We investigate models of stationary, selfgravitating, perfect-fluid tori (disks) rotating around black holes, focusing on geometric properties of spacetime. The models are constructed within the general-relativistic hydrodynamics, assuming differential (Keplerian) rotation of the fluid. We discuss a parametric bifurcation occurring in the solution space, different possible configurations of ergoregions (including toroidal ergoregions associated with the tori), nonmonotonicity of the circumferential radius, as well as the impact of the torus gravity on the location of the innermost stable circular orbit.

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Section: Stationary Toroids Around Black Holesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Self-gravitating perfect-fluid tori around black holes: Bifurcations, ergoregions, and geometrical properties

2020

Self Cite

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“…The formulation and numerical methods of this paper are based on a scheme of [20]. They have been used (with some changes) also in [16,[21][22][23]. In this section we only give a brief description of the key elements of the formalism.…”

Section: Stationary Toroids Around Black Holes: Equationsmentioning

confidence: 99%

“…This formula was obtained in [16,21], where its physical relevance was thoroughly discussed. It has been recently applied in [22][23][24]. Massless disks of dust around a Kerr black hole are subjected to the Keplerian rotation with the parameter a rot = a, where a is the black hole spin parameter (see Sec.…”

Section: A Hydrodynamical Equationsmentioning

confidence: 99%

Stationary massive disks around black holes: Realistic equation of state and bifurcation

Kulczycki

Mach

2021

Phys. Rev. D

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We study stationary and axially symmetric black hole-disk systems, assuming a combination of the DD2 and Timmes-Swesty equations of state and a three-parameter family of rotation laws. There exist two branches of solutions that are shown to bifurcate, for a suitable specific entropy and a parameter in the rotation law. Low entropy nuclear matter allows for the existence of moderately massive Keplerian disks.

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“…where w is a free constant. This rotation law was derived in [25,26] and used subsequently in [13,24,29,30]. The main motivation behind Eq.…”

Section: B Einstein Equationsmentioning

confidence: 99%

Toroidal magnetic fields in self-gravitating disks around black holes

Dyba,

Mach,

Pietrzynski

2021

Preprint

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We investigate stationary models of magnetized, self-gravitating disks around black holes. The disks are assumed to rotate according to a recently introduced Keplerian rotation law. We consider different prescriptions of the toroidal magnetic field. Similarly to the purely hydrodynamical case (i.e., with no magnetic field), we observe a bifurcation in the parameter space of solutions. There are usually two branches of solutions: a branch corresponding to relatively light disks and a branch for which the disk can be more massive than the black hole. The existence of this latter branch can be explained by geometric properties of the spacetime. We investigate the influence of the magnetic field in the disk on these effects.

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Two mass conjectures on axially symmetric black hole-disk systems

Cited by 7 publications

References 29 publications

Self-gravitating perfect-fluid tori around black holes: Bifurcations, ergoregions, and geometrical properties

Self-gravitating perfect-fluid tori around black holes: Bifurcations, ergoregions, and geometrical properties

Stationary massive disks around black holes: Realistic equation of state and bifurcation

Toroidal magnetic fields in self-gravitating disks around black holes

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