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X-ray reflection spectroscopy is potentially a powerful tool to probe thespacetime geometry around astrophysical black holes and test general relativityin the strong field regime. However, precision tests of general relativity areonly possible if we employ the correct astrophysical model and we can limit thesystematic uncertainties. It is thus crucial to select the sources and theobservations most suitable for these tests. In this work, we analyzesimultaneous observations of XMM-Newton and NuSTAR of the supermassive blackhole in Fairall 9. This source has a number of properties that make it apromising candidate for tests of general relativity using X-ray reflectionspectroscopy. Nevertheless, we find that with the available data there is not aunique interpretation of the spectrum of Fairall 9, which prevents, for themoment, to use this source for robust tests of general relativity. This issuemay be solved by future X-ray missions with a higher energy resolution near theiron line.

Reflection features in the X-ray spectrum of Fairall 9 and implications for tests of general relativity