Constraints on Schwarzschild-like black hole from QPOs data

The search for compact astrophysical objects, such as black holes and wormholes, along with the testing of gravity theories, are crucial topics in relativistic astrophysics. In this context, theoretical and observational studies of quasi periodic oscillations (QPOs) detected in (micro)quasars prove useful for investigating their central object. We explore the massive particle motion around black hole in Schwarzschild-like spacetime and using the equation of motion, the dependence of innermost stable circular orbits (ISCO) on the parameter $l$ was obtained. The frequencies of radial and vertical oscillations of particles around stable circular orbits have been studied and used to explain the mechanism of quasi periodic oscillations in the relativistic precession (RP) model. Using observational data from GRO J1655-40 and XTE J1550-564, we have determined a constraint on the parameter $l$ in Schwarzschild-like spacetime through Monte-Carlo-Markovian-Chain (MCMC) analyses.