A modified Schwarzschild metric with a horizon at n times the usual radius can reproduce M87*'s shadow-to-gas mass ratio only if n ≈ 3, not the n ≈ 2 the paper quotes, so the central numerical claim does not follow from its own equations.
M87 black hole mass and spin estimate through the position of the jet boundary shape break
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abstract
We propose a new method of estimating a mass of a super massive black hole residing in the center of an active galaxy. The active galaxy M87 offers a convenient test case for the method due to the existence of a large amount of observational data on the jet and ambient environment properties in the central area of the object. We suggest that the observed transition of a jet boundary shape from a parabolic to a conical form is associated with the flow transiting from the magnetically dominated regime to the energy equipartition between plasma bulk motion and magnetic field. By coupling the unique set of observations available for the jet kinematics, environment and boundary profile with our MHD modelling under assumption on the presence of a dynamically important magnetic field in the M87 jet, we estimate the central black hole mass and spin. The method leads us to believe that the M87 super massive black hole has a mass somewhat larger than typically accepted so far.
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Testing the Schwarzschild metric in a strong field region with the Event Horizon Telescope
A modified Schwarzschild metric with a horizon at n times the usual radius can reproduce M87*'s shadow-to-gas mass ratio only if n ≈ 3, not the n ≈ 2 the paper quotes, so the central numerical claim does not follow from its own equations.