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QPOs are a common feature in the X-ray power density spectrum of black holebinaries and a potentially powerful tool to probe the spacetime geometry aroundthese objects. Here we discuss their constraining power to test the Kerr blackhole hypothesis within the relativistic precession model. We compare ourresults with the constraints that can be obtained from gravitational waves andiron line. We find that QPOs may provide very precise measurements, but theyare strongly affected by parameter degeneracy, and it is difficult to test theKerr metric with this approach in the absence of independent observations toconstrain the mass or the spin.

Quasi-periodic oscillations as a tool for testing the Kerr metric: A comparison with gravitational waves and iron line