Capture of non-relativistic particles in eccentric orbits by a Kerr black hole

Abstract

We obtain approximate analytic expressions for the critical value of the total angular momentum of a non-relativistic test particle moving in the Kerr geometry, such that it will be captured by the black hole. The expressions apply to arbitrary orbital inclinations, and are accurate over the entire range of angular momentum for the Kerr black hole. The expressions can be easily implemented in N-body simulations of the evolution of star clusters around massive galactic black holes, where such captures play an important role.

8 pages, 1 figure, published version

References in corpus (2)

• Testing the general relativistic ''no-hair'' theorems using the galactic center black hole SgrA*
• A Periodic Table for Black Hole Orbits

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