Accretion of the Vlasov gas on Reissner-Nordström black holes

Cieślik, Adam; Mach, Patryk

doi:10.1103/physrevd.102.024032

Cited by 20 publications

(26 citation statements)

References 29 publications

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“…As usual for the relativistic analogue of the Bondi-Hoyle-Lyttleton accretion problem, we consider accretion onto the Schwarzschild black hole with the asymptotic conditions corresponding to the gas in thermal equilibrium, boosted with a velocity v in some direction (along the z axis, say). Similarily to the spherically symmetric case treated in [15][16][17], the gas in thermal equilibrium at the infinity, is no longer in thermal equilibrium in the vicinity of the black hole. In analogy with [15][16][17], we only consider the particles that travel from infinity and get absorbed by the black hole, and particles with sufficiently high angular momentum to get scattered to infinity.…”

Section: Introductionmentioning

confidence: 89%

“…Similarily to the spherically symmetric case treated in [15][16][17], the gas in thermal equilibrium at the infinity, is no longer in thermal equilibrium in the vicinity of the black hole. In analogy with [15][16][17], we only consider the particles that travel from infinity and get absorbed by the black hole, and particles with sufficiently high angular momentum to get scattered to infinity. Particles on bounded trajectories are not taken into account.…”

Section: Introductionmentioning

confidence: 89%

“…In [17] (a work coauthored by one of us) the formalism of Rioseco and Sarbach was used to compute solutions representing the accretion of the relativistic Vlasov gas onto the Reissner-Nordström black hole, treated as a toy model for spinning black holes. In this paper, we abandon spherical symmetry.…”

Section: Introductionmentioning

confidence: 99%

“…This is justified by the fact that scattering (collisions) between the particles is neglected, and we only consider the motion in a fixed background spacetime (there is no gravitational interaction between the particles). In comparison with [15][16][17], the formulas describing the flow are considerably more complex, but we are still able to derive exact expressions for the particle density current, mass accretion rate, etc. Perhaps the most surprising result of our analysis is the fact that the mass accretion rate is not, in general, a monotonic function of the black-hole velocity, which is different from the situation known from [6].…”

Section: Introductionmentioning

confidence: 99%

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Accretion of the relativistic Vlasov gas onto a moving Schwarzschild black hole: Exact solutions

Mach,

Odrzywolek

2020

Preprint

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We derive an exact, axially symmetric solution representing stationary accretion of the relativistic, collisionless Vlasov gas onto a moving Schwarzschild black hole. The gas is assumed to be in thermal equilibrium at infinity, where it obeys the Maxwell-Jüttner distribution. The Vlasov equation is solved analytically in terms of suitable action-angle variables. We provide explicit expressions for the particle current density and the accretion rate. In the limit of infinite asymptotic temperature of the gas, we recover the qualitative picture known form the relativistic Bondi-Hoyle-Lyttleton accretion of the perfect gas with the ultra-hard equation of state, in which the mass accretion is proportional to the Lorentz factor associated with the black-hole velocity. Surprisingly, for a finite asymptotic temperature, the mass accretion rate is not in general a monotonic function of the velocity of the black hole.

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Section: Introductionmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Accretion of the relativistic Vlasov gas onto a moving Schwarzschild black hole: Exact solutions

Mach,

Odrzywolek

2020

Preprint

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“…9 In this regard, it is interesting to mention the recent work by Cieślik & Mach (2020) who study the spherical accretion of a Vlasov gas onto a (charged) Reissner-Nordström black hole which is often considered as a simpler model for the Kerr spacetime since it shares many of its qualitative properties. In this model, the charge parameter plays the role of the spin…”

Section: Spin Dependencementioning

confidence: 99%

Spherical accretion: Bondi, Michel and rotating black holes

Aguayo-Ortiz,

Tejeda,

Sarbach

et al. 2021

Preprint

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In this work we revisit the steady state, spherically symmetric gas accretion problem from the non-relativistic regime to the ultra-relativistic one. We first perform a detailed comparison between the Bondi and Michel models, and show how the mass accretion rate in the Michel solution approaches a constant value as the fluid temperature increases, whereas the corresponding Bondi value continually decreases, the difference between these two predicted values becoming arbitrarily large at ultra-relativistic temperatures. Additionally, we extend the Michel solution to the case of a fluid with an equation of state corresponding to a monoatomic, relativistic gas. Finally, using general relativistic hydrodynamic simulations, we study spherical accretion onto a rotating black hole, exploring the influence of the black hole spin on the mass accretion rate, the flow morphology and characteristics, and the sonic surface. The effect of the black hole spin becomes more notorious as the gas temperature increases and as the adiabatic index γ stiffens. For an ideal gas in the ultra-relativistic limit (γ = 4/3), we find a reduction of 10 per cent in the mass accretion rate for a maximally rotating black hole as compared to a non-rotating one, while this reduction is of up to 50 per cent for a stiff fluid (γ = 2).

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Accretion of the relativistic Vlasov gas onto a Bardeen regular black hole

Liao

Liu

2022

Astrophys Space Sci

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We investigate the stationary, spherically symmetric accretion of the collisionless Vlasov gas onto a Bardeen regular black hole. Compared with previous studies, we propose a model in which the total angular momentum of the gas particles is not uniformly distributed, instead a half-normal distribution is assumed. It is found that the regularizing parameter in the Bardeen metric have no remarkable influence on the accretion of the gas, but the distribution of the total angular momentum can heavily depress the mass accretion rate. This effect might be useful to understand the observed low luminosity of Sgr A* and other underluminous sources such as M87*.

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Accretion of the Vlasov gas on Reissner-Nordström black holes

Cited by 20 publications

References 29 publications

Accretion of the relativistic Vlasov gas onto a moving Schwarzschild black hole: Exact solutions

Accretion of the relativistic Vlasov gas onto a moving Schwarzschild black hole: Exact solutions

Spherical accretion: Bondi, Michel and rotating black holes

Accretion of the relativistic Vlasov gas onto a Bardeen regular black hole

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