Abstract
The study of the quasi-periodic oscillations (QPOs) of X-ray flux observed in the stellar-mass black hole (BH) binaries can provide a powerful tool for testing the phenomena occurring in strong gravity regime. We thus present and apply to three known microquasars the model of epicyclic oscillations of Keplerian discs orbiting rotating BHs governed by the modified theory of gravity (MOG). We show that the standard geodesic models of QPOs can explain the observationally fixed data from the three microquasars, GRO 1655-40, XTE 1550-564, and GRS 1915+105. We perform a successful fitting of the high frequency (HF) QPOs observed in these microquasars, under assumption of MOG BHs, for epicyclic resonance and its variants, relativistic precession and its variants, tidal disruption, as well as warped disc models and discuss the corresponding constraints of parameters of the model, which are the mass and spin and parameter alpha of the BH.
Highlights
The mysteries of the Universe have always been a source of great attractions for physicists
The extension of Modified Newtonian Dynamics (MOND) in the so-called Tensor-vectorscalar (TeVeS) gravity developed by Bekenstein [8] is the covariant and relativistic gravitational theory which can be considered as an alternative to General Relativity (GR) without dark matter (DM)
This modified theory of gravity (MOG) is based on an action which consists of the usual Einstein–Hilbert term associated with the metric gμν, massive vector field φμ, and three scalar fields representing running values of the gravitational constant G, the vector field mass μ, and its coupling strength ω
Summary
The mysteries of the Universe have always been a source of great attractions for physicists. The extension of MOND in the so-called Tensor-vectorscalar (TeVeS) gravity developed by Bekenstein [8] is the covariant and relativistic gravitational theory which can be considered as an alternative to General Relativity (GR) without DM. Moffat [23] formulated the modified theory of gravity (MOG) known as scalar-tensor-vector gravity (STVG) which can be considered as another alternative to GR without DM in the present Universe This MOG is based on an action which consists of the usual Einstein–Hilbert term associated with the metric gμν, massive vector field φμ, and three scalar fields representing running values of the gravitational constant G, the vector field mass μ, and its coupling strength ω. For expressions having astrophysical relevance we use the physical constants explicitly
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