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arXiv · 1707.08663

Innermost stable circular orbits of a Kerr-like Metric with Quadrupole

Fabian Chaverri-Miranda·Francisco Frutos-Alfaro·Pedro Gomez-Ovarez·Andree Oliva-Mercado
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Abstract

The innermost stable circular orbit equation of a test particle is obtained for an approximate Kerr-like spacetime with quadrupole moment. We derived the effective potential for the radial coordinate by the Euler-Lagrange method. This equation can be employed to measure the mass quadrupole by observational means, because from this equation a quadratic polynomial for the quadrupole moment can be found. As expected, the limiting cases of this equation are found to be the known cases of Kerr and Schwarzschild.

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Fabian Chaverri-Miranda, Francisco Frutos-Alfaro, Pedro Gomez-Ovarez, Andree Oliva-Mercado. 2017-07-26. Innermost stable circular orbits of a Kerr-like Metric with Quadrupole. https://arxiv.org/abs/1707.08663

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