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Testing the rotational nature of the supermassive object M87* from the circularity and size of its first image

Cosimo BambiCenter for Field Theory and Particle Physics and Department of Physics, Fudan University, 200438 Shanghai, ChinaKatherine FreeseLeinweber Center for Theoretical Physics, Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USASunny VagnozziKavli Institute for Cosmology (KICC) and Institute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA, United KingdomLuca VisinelliDepartment of Physics and Astronomy, Uppsala University, Lägerhyddsvägen 1, SE-75120 Uppsala, Sweden
2019en
ABI

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The Event Horizon Telescope (EHT) collaboration has recently released the first image of a black hole (BH), opening a new window onto tests of general relativity in the strong field regime. In this paper, we derive constraints on the nature of M87* (the supermassive object at the center of the galaxy M87), exploiting the fact that its shadow appears to be highly circular, and using measurements of its angular size. We first consider the simple case where M87* is assumed to be a Kerr BH. We find that the inferred circularity of M87* excludes Kerr BHs with observation angle ${\ensuremath{\theta}}_{\mathrm{obs}}\ensuremath{\gtrsim}45\ifmmode^\circ\else\textdegree\fi{}$ for dimensionless rotational parameter $0.95\ensuremath{\lesssim}{a}_{*}\ensuremath{\le}1$ whereas the observation angle is unbounded for ${a}_{*}\ensuremath{\lesssim}0.9$. We then consider the possibility that M87* might be a superspinar, i.e., an object described by the Kerr solution and spinning so fast that it violates the Kerr bound by having $|{a}_{*}|>1$. We find that, within certain regions of parameter space, the inferred circularity and size of the shadow of M87* do not exclude the possibility that this object might be a superspinar.

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