Geodesics in the field of a rotating deformed gravitational source

Hernando Quevedo; Kuantay Boshkayev; Marzhan Abutalip; Sharara Suleymanova; Zhanerke Kalymova

Geodesics in the field of a rotating deformed gravitational source

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arxiv 1510.02016 v1 pith:BD77MMTN submitted 2015-10-07 gr-qc

Kuantay Boshkayev , Hernando Quevedo , Marzhan Abutalip , Zhanerke Kalymova , Sharara Suleymanova This is my paper · ORCID

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keywords sourceangulargeodesicscirculardeformedeffectsfieldgravitational

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We investigate equatorial geodesics in the gravitational field of a rotating and deformed source described by the approximate Hartle-Thorne metric. In the case of massive particles, we derive within the same approximation analytic expressions for the orbital angular velocity, the specific angular momentum and energy, and the radii of marginally stable and marginally bound circular orbits. Moreover, we calculate the orbital angular velocity and the radius of lightlike circular geodesics. We study numerically the frame dragging effect and the influence of the quadrupolar deformation of the source on the motion of test particles. We show that the effects originating from the rotation can be balanced by the effects due to the oblateness of the source.

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