Accurate analytical modeling of light rays in spherically symmetric spacetimes: Applications in the study of black hole accretion disks and polarimetry

Abstract

We present new, simple analytical formulas to accurately describe light rays in spherically symmetric static spacetimes. These formulas extend those introduced by Beloborodov and refined by Poutanen for the Schwarzschild metric. Our enhanced formulas are designed to be applicable to a broader range of spacetimes, making them particularly valuable for describing phenomena around compact objects like neutron stars and black holes. As an illustration of their application, we present analytical studies of images of thin accretion disks surrounding black holes and explore their associated polarimetry.

arXiv commentPublished version. Minor typos in two equations corrected

References in corpus (59)

• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• Geodesic stability, Lyapunov exponents and quasinormal modes
• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• First Light for GRAVITY: Phase Referencing Optical Interferometry for the Very Large Telescope Interferometer
• First M87 Event Horizon Telescope Results. VII. Polarization of the Ring
• Measuring the neutron star equation of state using X-ray timing
• Gravitational Bending of Light Near Compact Objects
• On the Nature of the X-ray Emission from the Accreting Millisecond Pulsar SAX J1808.4-3658
• Black holes with scalar hair in light of the Event Horizon Telescope
• Black Holes in Modified Gravity (MOG)
• Asymptotically flat black holes in Horndeski theory and beyond
• Charged Rotating Black Holes on a 3-Brane
• Quantum Oppenheimer-Snyder and Swiss Cheese models
• Pulse profiles of millisecond pulsars and their Fourier amplitudes
• The Oblate Schwarzschild Approximation for Light Curves of Rapidly Rotating Neutron Stars
• A reflection model for the cyclotron lines in the spectra of X-ray pulsars
• Galactic Dark Matter in the Phantom Field
• Universal Polarimetric Signatures of the Black Hole Photon Ring
• Atmosphere Models of Magnetized Neutron Stars: QED Effects, Radiation Spectra, and Polarization Signals
• Modeling the orbital motion of Sgr A*'s near-infrared flares
• Constraints on Neutron Star Properties from X-ray Observations of Millisecond Pulsars
• Inferring the Inclination of a Black Hole Accretion Disk from Observations of its Polarized Continuum Radiation
• Accreting millisecond pulsar SAX J1808.4-3658 during its 2002 outburst: evidence for a receding disc
• Physics of accretion in the millisecond pulsar XTE J1751-305
• Spectra of the spreading layers on the neutron star surface and constraints on the neutron star equation of state
• Model X-ray Spectra of Magnetic Neutron Stars with Hydrogen Atmospheres
• Light curves and polarization of accretion- and nuclear-powered millisecond pulsars
• Kinematics of and emission from helically orbiting blobs in a relativistic magnetized jet
• Polarimetry and Astrometry of NIR Flares as Event Horizon Scale, Dynamical Probes for the Mass of Sgr A*
• The Polarized Image of a Synchrotron Emitting Ring of Gas Orbiting a Black Hole
• Polarized Image of Equatorial Emission in the Kerr Geometry
• A large accretion disk of extreme eccentricity in the TDE ASASSN-14li
• Dynamically important magnetic fields near the event horizon of Sgr A*
• Analytical study of higher-order ring images of accretion disk around black hole
• Absorption and scattering of a noncommutative black hole
• Phase dependent view of Cyclotron lines from model accretion mounds on Neutron Stars
• C-metric with a conformally coupled scalar field in a magnetic universe
• On the radiation beaming of bright X-ray pulsars and constraints on neutron star mass-radius relation
• Neutrino pair annihilation above merger remnants: implications of a long-lived massive neutron star
• Optical appearance of Einstein-Æther black hole surrounded by thin disk
• Shape of higher-order images of equatorial emission rings around a Schwarzschild black hole: Analytical description with polar curves
• Neutron stars - thermal emitters
• Variability Profiles of Millisecond X-Ray Pulsars: Results of Pseudo-Newtonian 3D MHD Simulations
• Photon rings as tests for alternative spherically symmetric geometries with thin accretion disks
• Adaptive Analytical Ray Tracing of Black Hole Photon Rings
• Simulations of M87 and Sgr A* Imaging with the Millimetron Space Observatory on near-Earth orbits
• Accurate analytic formula for light bending in Schwarzschild metric
• Approximate analytical calculations of photon geodesics in the Schwarzschild metric
• Approximating light rays in the Schwarzschild field
• Oblate Schwarzschild approximation for polarized radiation from rapidly rotating neutron stars
• Elliptical accretion disk as a model for tidal disruption events
• System Design for the Event Horizon Imaging Experiment Using the PECMEO Concept
• Analytical expressions for pulse profile of neutron stars in plasma environments
• Orbital configurations of spaceborne interferometers for studying photon rings of supermassive black holes
• Skylight: a new code for general-relativistic ray-tracing and radiative transfer in arbitrary spacetimes
• Intensity and Polarization Characteristics of Extended Neutron Star Surface Regions
• A new approximation of photon geodesics in Schwarzschild spacetime
• Effects of scattering in the accretion funnel on the pulse profiles of accreting millisecond pulsars
• Synthetic gravitational lens image of the Sagittarius A${}^{\ast }$ black hole with a thin disk model

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• Fast and accurate analytical formulas for light propagation in general static, spherically symmetric spacetimes