Abstract
This work explores the dynamic properties of test particles surrounding a distorted, deformed compact object. The astrophysical motivation was to choose such a background as to constitute a more reasonable model of a real situation that arises in the vicinity of compact objects with the possibility of having parameters such as the extra physical degrees of freedom. This can facilitate associating observational data with astrophysical systems. This work’s main goal is to study the dynamic regime of motion and quasi-periodic oscillation in this background, depending on different parameters of the system. In addition, we exercise the resonant phenomena of the radial and vertical oscillations at their observed quasi-periodic oscillations frequency ratio 3:2 and show that the oscillatory frequencies of charged particles can be adequately related to the frequencies of the twin high-frequency quasi-periodic oscillations observed in some sources of the microquasar observational data.
Highlights
This work explores the dynamic properties of test particles surrounding a distorted, deformed compact object
Quasi-period oscillations have been observed in supermassive black hole light curves and, recently, the source went through burst alert telescope (BAT) onboard Swift
Their importance is due to the fact that Quasi-periodic oscillations (QPOs), peak features in the X-rays observed from stellarmass BHs and neutron stars, are likely to arise from quite near the compact object itself and exhibit frequencies that scale inversely with the black hole mass, which allows us to probe and study the nature of accretion in highly curved space–time
Summary
Quasi-periodic oscillations (QPOs) of X-ray power spectral density have been observed at low (Hz) and high (kHz) frequencies and were discovered in the eighties [1,2]. We present our work on the background of a distorted, deformed compact object which is static and axisymmetric. This background is the simplest generalization of the so-. We consider generalized q-metric, which has q-metric as the seed metric and considers the existence of a static and axially symmetric external distribution of matter in its vicinity up to quadrupole. In what follows, we only discussed bounded timelike trajectories as we are interested in studying oscillation of particle for a small perturbation of the orbit; the test particles’ motion can be chaotic in this background for some combinations of parameters α and β.
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