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

Abubakir ShermatovInstitute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, Tashkent 100000, UzbekistanBahodir AhmedovNew Uzbekistan University
Turanian Journaljournal2026
ABI

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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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