Constraining Kiselev Black Hole Parameters in f(R,T) Gravity from Intermediate-Mass Black Hole QPO Observations Using Bayesian MCMC Simulation

We investigate a static Kiselev black hole solution in f(R,T) gravity. We then study equatorial motion of test particles by incorporating the matter–geometry coupling through the non-geodesic equation, which modifies the effective potential via a weak-coupling parameter α. The Keplerian and epicyclic frequencies are derived and employed to model twin-peak QPOs. Finally, using χ^2 minimization and Bayesian MCMC sampling with Gaussian priors, we constrain the model parameters with QPO data for intermediate mass black hole M82 X–1.

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