Shapes and Positions of Black Hole Shadows in Accretion Disks and Spin Parameters of Black Holes

Abstract

Can we determine a spin parameter of a black hole by observation of a black hole shadow in an accretion disk? In order to answer this question, we make a qualitative analysis and a quantitative analysis of a shape and a position of a black hole shadow casted by a rotating black hole on an optically thick accretion disk and its dependence on an angular momentum of a black hole. We have found black hole shadows with a quite similar size and a shape for largely different black hole spin parameters and a same black hole mass. Thus, it is practically difficult to determine a spin parameter of a black hole from a size and a shape of a black hole shadow in an accretion disk. We newly introduce a bisector axis of a black hole shadow named a shadow axis. For a rotating black hole a shape and a position of a black hole shadow are not symmetric with respect to a rotation axis of a black hole shadow. So, in this case the minimum interval between a mass center of a black hole and a shadow axis is finite. An extent of this minimum interval is roughly proportional to a spin parameter of a black hole for a fixed inclination angle between a rotation axis of a black hole and a direction of an observer. In order to measure a spin parameter of a black hole, if a shadow axis is determined observationally, it is crucially important to determine a position of a mass center of a black hole in a region of a black hole shadow.

13 pages, 6 figures, accepted for publication in ApJ

References in corpus (8)

• Near-infrared flares from accreting gas around the supermassive black hole at the Galactic Centre
• Evidence for Spin and Energy Extraction in a Galactic Black Hole Candidate: The XMM-Newton/EPIC-pn Spectrum of XTE J1650-500
• Where is the Inner Edge of an Accretion Disk Around a Black Hole?
• Polarimetric Imaging of the Massive Black Hole at the Galactic Center
• Astrometric Microlensing with the GAIA satellite
• Measuring the Black Hole Spin in Sgr A*
• Where is a Marginally Stable Last Circular Orbit in Super-Critical Accretion Flow?
• Separability of Rotational Effects on a Gravitational Lens

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