Abstract
The main goal of this paper is to investigate the physical properties of equilibrium sequences of non-self-gravitating surfaces that characterize Thick disks around a rotating deformed compact object described by a stationary generalization of the static mathrm q-metric. The space-time corresponds to an exact solution of Einstein’s field equations so that we can perform the analysis for arbitrary values of the quadrupole moment and rotation parameter. To study the properties of this disk model, we analyze bounded trajectories in this space-time. Further, we find that depending on the values of the parameters, we can have various disk structures that can easily be distinguished from the static case and also from the Schwarzschild background. We argue that this study may be used to evaluate the rotation and quadrupole parameters of the central compact object.
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