Geodesic Model of HF QPOs Tested for Black Holes in Spacetimes Reflecting the Effect of Surrounding Dark Matter

Abstract

Using the simple but robust model of a shell of dark matter (DM) around a Schwarzschild black hole (BH), represented by the mass ratio of the shell and BH $\Delta M/M$, the shell extension $\Delta r_s$ and its inner radius $r_s$, we study the influence of DM on the spacetime structure and geodesic motion, and provide a classification of the BH+DM shell spacetimes according to the properties of the stable circular geodesics governing Keplerian disks. We focus our attention on the epicyclic motion around circular geodesics that can be related to observational phenomena in X-ray radiation from Keplerian accretion disks, assumed to be influenced by the DM shell only gravitationally. We give the frequencies of the orbital and epicyclic motions and discuss their properties in terms of the parameters governing the DM shell. Using the frequencies in relevant variants of the standard geodesic model of high-frequency quasiperiodic oscillations (HF QPOs), we test the role of DM by fitting the HF QPO data from some microquasars and active galactic nuclei with supermassive BHs where no variant of the geodesic model applied in the standard vacuum BH background is able to explain the data. We thus provide a robust review of the applicability of the geodesic model of HF QPOs, and also provide limits on the amount of DM around a BH. We demonstrate that the geodesic model could be well applied to most observations of active galactic nuclei, with strong restrictions on the amount of invisible matter around BHs.

41 pages, 31 figures, 6 tables

References in corpus (18)

• X-ray Properties of Black-Hole Binaries
• Can environmental effects spoil precision gravitational-wave astrophysics?
• Tests for the existence of horizons through gravitational wave echoes
• Shadow of a black hole surrounded by dark matter
• Possible signature of magnetic fields related to quasi-periodic oscillation observed in microquasars
• Influence of the relict cosmological constant on accretion discs
• Supermassive black holes as possible sources of ultra high energy cosmic rays
• Quasiperiodic Oscillations, Quasinormal Modes and Shadows of Bardeen-Kiselev Black Holes
• Wormholes without exotic matter: quasinormal modes, echoes and shadows
• General relativistic polytropes with a repulsive cosmological constant
• Quasiperiodic oscillations in a strong gravitational field around neutron stars testing braneworld models
• Charged particle and epicyclic motions around $4D$ Einstein-Gauss-Bonnet black hole immersed in an external magnetic field
• Determination of chaotic behaviour in time series generated by charged particle motion around magnetized Schwarzschild black holes
• On mass-constraints implied by the relativistic precession model of twin-peak quasi-periodic oscillations in Circinus X-1
• Epicyclic Oscillations around Simpson-Visser Regular Black Holes and Wormholes
• Controversy of the GRO J1655-40 black hole mass and spin estimates and its possible solutions
• Mass-angular-momentum relations implied by models of twin peak quasi-periodic oscillations
• String loops oscillating in the field of Kerr black holes as a possible explanation of twin high-frequency quasiperiodic oscillations observed in microquasars

Cited by in corpus (3)

• Charged black hole surrounded by a galactic halo in de Sitter universe
• Modeling HF-QPOs in Microquasars and AGNs: Charged Particles around Black Holes with CDM Halos
• Curled orbit and epicyclic oscillation of charged particles around the weakly magnetized black hole in the presence of Lorentz violation