Innermost stable circular orbits of a Kerr-like Metric with Quadrupole
General Relativity and Quantum Cosmology
2017-07-28 v1 Cosmology and Nongalactic Astrophysics
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.
Keywords
Cite
@article{arxiv.1707.08663,
title = {Innermost stable circular orbits of a Kerr-like Metric with Quadrupole},
author = {Fabian Chaverri-Miranda and Francisco Frutos-Alfaro and Pedro Gomez-Ovarez and Andree Oliva-Mercado},
journal= {arXiv preprint arXiv:1707.08663},
year = {2017}
}