http://arxiv.org/abs/1707.08663
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.
F. Chaverri-Miranda, F. Frutos-Alfaro, P. Gomez-Ovarez, et. al.
Fri, 28 Jul 17
21/48
Comments: N/A