Aberration effect on lower-order images of thin accretion disk in the astrometric approach

Abstract

With recent advancements in observing supermassive black holes with the Event Horizon Telescope, there has been persistent exploration into what the images can reveal about fundamental physics, including space-time geometries and astrophysical emission sources. Inspired by Penrose's aberration formula for a rigid sphere, which clarified that increased speed does not flatten the appearance of the sphere, we extend the studies to the behavior of the images of accretion emissions. This paper examines the impact of aberration effects on the images of a thin accretion disk around Kerr-de Sitter black holes for finite distant observers, specifically focusing on the primary, secondary, and $n=2$ images. We employ the analytical ray-tracing scenario and extend the astrometric approach to investigate the images in the presence of aberration. This study is non-trivial because we do not assume a specific form of the aberration formula, instead, all aberration effects emerge from a coordinate-independent and tetrad-independent framework referred to as the astrometric approach. Our study finds that the shapes of the lower-order images get highly distorted for finite observers in motion, and the shapes and sizes of primary images are more sensitive to aberration than those of the $n=2$ images. This finding suggests that the primary images could theoretically be distinguished from the shadow based on their distinctive variations.

arXiv comment33 pages in 11pt, 22 figures

References in corpus (39)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• Viewing the Shadow of the Black Hole at the Galactic Center
• Schwarzschild black hole lensing
• Black Hole Shadows, Photon Rings, and Lensing Rings
• Relativistic images of Schwarzschild black hole lensing
• Photon Regions and Shadows of Kerr-Newman-NUT Black Holes with a Cosmological Constant
• Universal Interferometric Signatures of a Black Hole's Photon Ring
• Constraints on black-hole charges with the 2017 EHT observations of M87*
• Gravitational Test Beyond the First Post-Newtonian Order with the Shadow of the M87 Black Hole
• The Current Ability to Test Theories of Gravity with Black Hole Shadows
• The Shadow of a Spherically Accreting Black Hole
• Lensing by Kerr Black Holes
• Black hole shadow in an expanding universe with a cosmological constant
• Shadow of a Spinning Black Hole in an Expanding Universe
• The Null Geodesics of the Kerr Exterior
• Can the EHT M87 results be used to test general relativity?
• Photon Spheres and Spherical Accretion Image of a Hairy Black Hole
• Shadows and photon rings of regular black holes and geonic horizonless compact objects
• Images and photon ring signatures of thick disks around black holes
• Black Hole Images as Tests of General Relativity: Effects of Spacetime Geometry
• Analytical study of higher-order ring images of accretion disk around black hole
• Rings and images of Horndeski hairy black hole illuminated by various thin accretions
• Observational properties of relativistic fluid spheres with thin accretion disks
• A revisit of rotating black hole shadow with astrometric observables
• Photon rings as tests for alternative spherically symmetric geometries with thin accretion disks
• Adaptive Analytical Ray Tracing of Black Hole Photon Rings
• Shadows of rotating Hayward-de Sitter black holes with astrometric observables
• Does the shape of the shadow of a black hole depend on motional status of an observer?
• Influence of accretion disk on the optical appearance of the Kazakov-Solodukhin black hole
• EHT observables as a tool to estimate parameters of supermassive black holes
• Probing spacetime and accretion model for the Galactic Center: Comparison of Kerr and dilaton black hole shadows
• Black hole shadow in the view of freely falling observers
• The observer-dependent shadow of the Kerr black hole
• Thin accretion disk images of the black hole in symmergent gravity
• Shadows of Kerr-Vaidya-like black holes
• Magnetized Thick Disks around Boson Stars

Cited by in corpus (1)

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