Equatorial Circular Geodesics in the Hartle-Thorne Spacetime
Abstract
We investigate the influence of the quadrupole moment of a rotating source on the motion of a test particle in the strong field regime. For this purpose the Hartle-Thorne metric, that is an approximate solution of vacuum Einstein field equations that describes the exterior of any slowly rotating, stationary and axially symmetric body, is used. The metric is given with accuracy up to the second order terms in the body's angular momentum, and first order terms in its quadrupole moment. We give, with the same accuracy, analytic equations for equatorial circular geodesics in the Hartle-Thorne spacetime and integrate them numerically.
Cite
@article{arxiv.1306.4792,
title = {Equatorial Circular Geodesics in the Hartle-Thorne Spacetime},
author = {Donato Bini and Kuantay Boshkayev and Remo Ruffini and Ivan Siutsou},
journal= {arXiv preprint arXiv:1306.4792},
year = {2013}
}
Comments
6 pages, 8 figures, published in the proceedings of the 12th Italian-Korean Sympothium on Relativistic Astrophysics