Circular geodesics in a New Generalization of q-metric

Abstract

This paper introduces an alternative generalization of the static solution with quadrupole moment, the $\mathrm{q}$-metric, that describes a deformed compact object in the presence of the external fields characterized by multipole moments. In addition, we also examine the impact of the external fields up to quadrupole on the circular geodesics and the interplay of these two quadrupoles on the place of the innermost stable circular orbit (ISCO) in the equatorial plane.

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• The space-time line element for static ellipsoidal objects
• Shadow of quadrupole-deformed compact objects in a local dark matter shell
• Relativistic equilibrium fluid configurations around rotating deformed compact objects
• Oscillation properties of relativistic tori in the vicinity of a distorted deformed compact object
• Vacuum polarization effects in the background of a deformed compact object and implications for photon velocity