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Spinning test-body orbiting around a Kerr black hole: circular dynamics and gravitational-wave fluxes by Lukes-Gerakopoulos, Georgios; Harms, Enno; Bernuzzi, Sebastiano; Nagar, Alessandro is a scholarly article available to read on EtoBox.

What is Spinning test-body orbiting around a Kerr black hole: circular dynamics and gravitational-wave fluxes about?

In a recent work, [Phys. Rev. D. 94, 104010 (2016)], hereafter Paper I, we have numerically studied different prescriptions for the dynamics of a spinning particle in circular motion around a Schwarzschild black hole. In the present work, we continue this line of investigation to the rotating Kerr black hole. We consider the Mathisson-Papapetrou formalism under three different spin-supplementary-conditions (SSC), the Tulczyjew SSC, the Pirani SSC and the Ohashi-Kyrian-Semerak SSC, and analyze the different circular dynamics in terms of the ISCO shifts and the frequency parameter ${x \equiv (M \Omega)^{2/3}}$, where $\Omega$ is the orbital frequency and $M$ is the Kerr black hole mass. Then, we solve numerically the inhomogeneous $(2+1)D$ Teukolsky equation to contrast the asymptotic gravitational wave fluxes for the three cases. Our central observation made in Paper I for the Schwarzschild limit is found to hold true for the Kerr background: the three SSCs reduce to the same circular dynamics and the same radiation fluxes for small frequency parameters but differences arise as $x$ grows close to the ISCO. For a positive Kerr parameter $a=0.9$ the energy fluxes mutually agree with e

Author

Lukes-Gerakopoulos, Georgios; Harms, Enno; Bernuzzi, Sebastiano; Nagar, Alessandro

Published

2017

Language

EN