Phase-plane analysis for a spinning particle orbiting a Schwarzschild black hole with second-order spin corrections

Authors

John Carlo Narte Elmaguin ⋅ PH National Institute of Physics, University of the Philippines Diliman
Michael Francis Ian Vega, II ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We study the motion of a particle driven by second-order spin corrections according to the Tulczyjew spin condition as it orbits a Schwarzschild black hole. We convert the Mathisson-Papapetrou-Dixon equations to first-order form and subject them to a phase-plane analysis. We characterize how the number of fixed points depend on the orbital angular momentum and spin of the particle. We find that the spin contributes to the total angular momentum, so that even if the orbital angular momentum is small a bound orbit can still exist because of the spin.

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Issue

2020: Proceedings of the 38th Samahang Pisika ng Pilipinas Physics Conference

Shedding light on the pandemic through the lens of physics
Pagtanglaw sa pandemya sa lente ng pisika
19-23 October 2020

This is the first fully online SPP Physics Conference. Please visit the SPP2020 activity webpage for more information on this year's Physics Congress.

Article ID

SPP-2020-1F-01

Section

Theoretical and Mathematical Physics (Short Presentations)

Published

2020-10-19

How to Cite

[1]

JCN Elmaguin and MFI Vega, Phase-plane analysis for a spinning particle orbiting a Schwarzschild black hole with second-order spin corrections, Proceedings of the Samahang Pisika ng Pilipinas 38, SPP-2020-1F-01 (2020). URL: https://proceedings.spp-online.org/article/view/SPP-2020-1F-01.