Testing of Kerr black hole with quintessential dark energy through observational data by using quasi-periodic oscillations

Abstract

A viable method to examine the wide range of intriguing phenomena that occur in a strong gravity regime is the study of the quasi-periodic oscillations (QPOs) of X-ray flux seen in stellar-mass black hole (BH) binaries. We take into account three well-known microquasars GRO 1655-40, XTE 1550-564, and GRS 1915+105 with their observational data and investigate the QPOs. We successfully fit the observational data of the high frequency (HF) QPO models, i.e., epicyclic resonance (ER) and its variants, relativistic precession (RP) and its variants, tidal disruption (TD), as well as warped disk (WD) models are explore under the effect of the involved parameter in the Kerr BH with quintessential dark energy (DE). We demonstrate that the conventional geodesic models of QPOs can explain the observationally established data from the microquasar models. Conclusively, it is found that our obtained findings are physically viable and well-matched with the observational data of GRO 1655-40, XTE 1550-564, and GRS 1915+105 microquasar models.