Constraining the deformation of a rotating black hole mimicker from its shadow


Li S. Mirzaev T. Abdujabbarov A.A. Malafarina D. Ahmedov B. Han W.-B.
15 October 2022American Physical Society

Physical Review D
2022#106Issue 8

We consider a black hole mimicker given by an exact solution of the stationary and axially-symmetric field equations in vacuum known as the δ-Kerr metric. We study its optical properties based on a ray-tracing code for photon motion and characterize the apparent shape of the shadow of the compact object and compare it with the Kerr black hole. For the purpose of obtaining qualitative estimates related to the observed shadow of the supermassive compact object in the galaxy M87 we focus on values of the objects spin a and inclination angle of observation θ0 close to the measured values. We then apply the model to the shadow of the δ-Kerr metric to obtain constraints on the allowed values of the deformation parameter. We show that based uniquely on one set of observations of the shadows boundary it is not possible to exclude the δ-Kerr solution as a viable source for the geometry in the exterior of the compact object.



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Shanghai Astronomical Observatory, Shanghai, 200030, China
School of Astronomy and Space Science, University of Chinese Academy of Sciences, Beijing, 100049, China
Ulugh Beg Astronomical Institute, Astronomy St. 33, Tashkent, 100052, Uzbekistan
Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, Kori Niyoziy, 39, Tashkent, 100000, Uzbekistan
Physics Faculty, National University of Uzbekistan, Tashkent, 100174, Uzbekistan
Institute of Nuclear Physics, Tashkent, 100214, Uzbekistan
Department of Physics, Nazarbayev University, 53 Kabanbay Batyr Avenue, Astana, 010000, Kazakhstan
School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, Hangzhou, 310024, China
International Centre for Theoretical Physics Asia-Pacific, Hangzhou, Beijing, China
Shanghai Frontiers Science Center for Gravitational Wave Detection, 800 Dongchuan Road, Shanghai, 200240, China

Shanghai Astronomical Observatory
School of Astronomy and Space Science
Ulugh Beg Astronomical Institute
Tashkent Institute of Irrigation and Agricultural Mechanization Engineers
Physics Faculty
Institute of Nuclear Physics
Department of Physics
School of Fundamental Physics and Mathematical Sciences
International Centre for Theoretical Physics Asia-Pacific
Shanghai Frontiers Science Center for Gravitational Wave Detection

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