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In a recent paper [Ghasemi-Nodehi & Bambi, EPJC 76 (2016) 290], we haveproposed a new parametrization for testing the Kerr nature of astrophysicalblack hole candidates. In the present work, we study the possibility ofconstraining the "Kerr parameters" of our proposal using X-ray reflectionspectroscopy, the so-called iron line method. We simulate observations with theLAD instrument on board of the future eXTP mission assuming an exposure time of200~ks. We fit the simulated data to see if the Kerr parameters can beconstrained. If we have the correct astrophysical model, 200~ks observationswith LAD/eXTP can constrain all the Kerr parameters with the exception of$b_{11}$, whose impact on the iron line profile is extremely weak and itsmeasurement looks very challenging.

Constraining the Kerr parameters via X-ray reflection spectroscopy