2011/03/28 by F. S. Guzman, F. S. Guzmán, F. D. Lora-Clavijo · 30 citations
Engineering · Physics and Astronomy · #Accretion (finance) #Astrophysical Phenomena and Observations #Astrophysics #Black hole (networking) #Classical mechanics #Dark matter #Equation of state #Galaxies: Formation, Evolution, Phenomena #Galaxy #General relativity #Heat Transfer Mechanisms #Intermediate-mass black hole #Physics #Quantum mechanics #Schwarzschild metric #Schwarzschild radius #Stellar black hole #Supermassive black hole #astro-ph.CO #astro-ph.GA
paper · pdf · doi:10.1111/j.1365-2966.2011.18687.x
published in Monthly Notices of the Royal Astronomical Society 415(1), 225-234 (Oxford University Press) · 9 pages, 24 eps figures, 2 tables. Accepted for publication in MNRAS
arxiv created 2011/03/28 · openalex publication_date 2011/05/18 · arxiv updated 2011/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Based on the numerical solution of the time-dependent relativistic Euler equations on to a fixed Schwarzschild background space–time, we estimate the accretion rate of radial flow towards the horizon of a test perfect fluid obeying an ideal gas equation of state. We explore the accretion rate in terms of the initial density of the fluid for various values of the inflow velocity in order to investigate whether or not sufficiently arbitrary initial conditions allow a steady state accretion process depending on the values of the pressure. We extrapolate our results to the case where the fluid corresponds to dark matter and the black hole is a supermassive black hole seed. Then we estimate the equation of state parameters that provide a steady state accretion process. We found that when the pressure of the dark matter is zero, the black hole’s mass grows up to values that are orders of magnitude above 109 M⊙ during a lapse of 10 Gyr, whereas in the case of the accretion of the ideal gas dark matter with non-zero pressure the accreted mass can be of the order of ∼1 M⊙/10 Gyr for black holes of 106 M⊙. This would imply that if dark matter near a supermassive black hole acquires an equation of state with non-trivial pressure, the contribution of accreted dark matter to the supermassive black hole growth could be small, even though only radial accretion is considered.