# Astrophysically relevant bound trajectories around a Kerr black hole

11 Feb 2019 Rana Prerna Indian Institute of Astrophysics Mangalam A. Indian Institute of Astrophysics

We derive alternate and new closed-form analytic solutions for the non-equatorial eccentric bound trajectories, $\{ \phi \left( r, \theta \right)$, $\ t \left( r, \theta \right),\ r \left( \theta \right) \}$, around a Kerr black hole by using the transformation $1/r=\mu \left(1+ e \cos \chi \right)$. The application of the solutions is straightforward and numerically fast... (read more)

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# Categories

• GENERAL RELATIVITY AND QUANTUM COSMOLOGY
• HIGH ENERGY ASTROPHYSICAL PHENOMENA