Magnetized discs and photon rings around Yukawa-like black holes

Abstract

We present stationary solutions of geometrically thick discs (or tori) endowed with a self-consistent toroidal magnetic field distribution surrounding a non-rotating black hole in an analytical, static, spherically-symmetric $f(R)$-gravity background. These $f(R)$-gravity models introduce a Yukawa-like modification to the Newtonian potential, encoded in a single parameter $\delta$ which controls the strength of the modified potential and whose specific values affect the disc configurations when compared to the general relativistic case. Our models span different magnetic field strengths, from purely hydrodynamical discs to highly magnetized tori. The characteristics of the solutions are identified by analyzing the central density, mass, geometrical size, angular size, and the black hole metric deviations from the Schwarzschild space-time. In the general relativistic limit ($\delta =0$) our models reproduce previous results for a Schwarzschild black hole. For small values of the $\delta$ parameter, corresponding to $\sim 10\%$ deviations from general relativity, we find variations of $\sim 2\%$ in the event horizon size, a $\sim 5\%$ shift in the location of the inner edge and center of the disc, while the outer edge increases by $\sim 10\%$. Our analysis for $|\delta |>0.1$, however, reveals notable changes in the black hole space-time solution which have a major impact in the morphological and thermodynamical properties of the discs. The comparison with general relativity is further investigated by computing the size of the photon ring produced by a source located at infinity. This allows us to place constraints on the parameters of the $f(R)$-gravity model based on the Event Horizon Telescope observations of the size of the light ring in M87 and SgrA${}^{\ast }$.

arXiv comment14 pages, 7 figures, 2 tables. Version accepted for publication in PRD

References in corpus (58)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• f(R) Theories Of Gravity
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Multi-messenger Observations of a Binary Neutron Star Merger
• Extended Theories of Gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Advection-Dominated Accretion: A Self-Similar Solution
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• Hot Accretion Flows Around Black Holes
• Efficient Generation of Jets from Magnetically Arrested Accretion on a Rapidly Spinning Black Hole
• General Relativistic Magnetohydrodynamic Simulations of Magnetically Choked Accretion Flows around Black Holes
• A geometric distance measurement to the Galactic Center black hole with 0.3% uncertainty
• HARM: A Numerical Scheme for General Relativistic Magnetohydrodynamics
• Magnetically Arrested Disk: An Energetically Efficient Accretion Flow
• Foundations of Black Hole Accretion Disk Theory
• Binary neutron-star mergers: a review of Einstein's richest laboratory
• GRMHD Simulations of Magnetized Advection Dominated Accretion on a Non-Spinning Black Hole: Role of Outflows
• Measurement of the Kerr Spin Parameter by Observation of a Compact Object's Shadow
• Testing the No-Hair Theorem with Observations in the Electromagnetic Spectrum: II. Black-Hole Images
• Global General Relativistic MHD Simulation of a Tilted Black-Hole Accretion Disk
• The Event Horizon General Relativistic Magnetohydrodynamic Code Comparison Project
• The Newtonian Limit of F(R) gravity
• The Current Ability to Test Theories of Gravity with Black Hole Shadows
• General parametrization of axisymmetric black holes in metric theories of gravity
• Semi-implicit scheme for treating radiation under M1 closure in general relativistic conservative fluid dynamics codes
• How to tell an accreting boson star from a black hole
• The runaway instability of thick discs around black holes. I. The constant angular momentum case
• Black Hole Shadow of Sgr A${}^{\ast }$ in Dark Matter Halo
• Magnetized Tori around Kerr Black Holes: Analytic Solutions with a Toroidal Magnetic Field
• Dynamics of oscillating relativistic tori around Kerr black holes
• Global General Relativistic Magnetohydrodynamic Simulations of Accretion Tori
• Gravitational waves from the Papaloizou-Pringle instability in black hole-torus systems
• The runaway instability of thick discs around black holes. II. Non constant angular momentum discs
• Dynamics of thick discs around Schwarzschild-de Sitter black holes
• Stability of general-relativistic accretion disks
• Analysis of the Yukawa gravitational potential in $f(R)$ gravity I: semiclassical periastron advance
• Analysis of the Yukawa gravitational potential in $f(R)$ gravity II: relativistic periastron advance
• Dynamics of magnetized relativistic tori oscillating around black holes
• Accretion disks around black holes in modified strong gravity
• The runaway instability in general relativistic accretion disks
• Influence of self-gravity on the runaway instability of black hole-torus systems
• Constraining f(R) gravity with PLANCK data on galaxy cluster profiles
• Papaloizou-Pringle instability suppression by the magnetorotational instability in relativistic accretion discs
• Charged particle motion around a quasi-Kerr compact object immersed in an external magnetic field
• Dynamics of charged particles and magnetic dipoles around magnetized quasi-Schwarzschild black holes
• Local Stability of Strongly Magnetized Black Hole Tori
• Magnetised Polish doughnuts revisited
• On the Decay of Strong Magnetization in Global Disc Simulations with Toroidal Fields
• A parametrization to test black hole candidates with the spectrum of thin disks
• Numerical relativity simulations of thick accretion disks around tilted Kerr black holes
• The matter Lagrangian of an ideal fluid
• Magnetized accretion disks around Kerr black holes with scalar hair - I. Constant angular momentum disks
• Non-linear evolutions of magnetised thick discs around black holes: dependence on the initial data
• New closed analytical solutions for geometrically thick fluid tori around black holes: Numerical evolution and the onset of the magneto-rotational instability
• Self-gravitating magnetised tori around black holes in general relativity
• Analytic solution of a magnetized tori with magnetic polarization around Kerr black holes
• Numerical general relativistic MHD with magnetically polarized matter

Cited by in corpus (13)

• No-Hair Theorem in the Wake of Event Horizon Telescope
• Einstein-Æther Gravity in the light of Event Horizon Telescope Observations of M87*
• Probing spacetime and accretion model for the Galactic Center: Comparison of Kerr and dilaton black hole shadows
• Thick accretion disk configurations in the Born-Infeld teleparallel gravity
• Equilibrium non-selfgravitating tori around black holes in parameterised spherically symmetric spacetimes
• Magnetized accretion disks around Kerr black holes with scalar hair -- Nonconstant angular momentum disks
• Gravitational wave radiation from periodic orbits and quasi-periodic oscillations in Einstein non-linear Maxwell-Yukawa black hole
• Magnetized Thick Disks around Boson Stars
• Synchrotron emitting Komissarov torus around naked singularities
• Probing the nature of Einstein nonlinear Maxwell Yukawa black hole through gravitational wave forms from periodic orbits and quasiperiodic oscillations
• Toroidal magnetic fields in self-gravitating disks around black holes
• Testing black hole space-times with the S2 star orbit: a Bayesian comparison
• Metric tensor at second perturbation order for spherically symmetric space-times