Astronomy and Astrophysics – Astrophysics – Solar and Stellar Astrophysics
Scientific paper
2011-12-07
Astronomy and Astrophysics
Astrophysics
Solar and Stellar Astrophysics
10 pages, 11 figures
Scientific paper
We address the issue of the accuracy of the analytic exact solutions of the Einstein-Maxwell equations to describe the exterior spacetime of compact stars. As a test of accuracy, the radii of Innermost Stable Circular Orbits (ISCOs) as given by full numerical solutions of Einstein equations and by analytic exact exterior solutions, have been compared in the past. Here we propose an off-equatorial test of accuracy based on the comparison of the orbital frequencies of neutral test particles around compact objects. In particular, we compare the Keplerian frequency, the periastron and nodal precession frequencies, as well as the Lense-Thirring frequency, given by the Kerr solution and and the six-parametric solution by Pachon, Rueda and Sanabria (2006). We evidentiate the major role of high-order multipole moments, e.g. the quadrupole and the current octupole moments, in the determination of the orbital frequencies, especially in the rapid rotation regime. The results of this work are relevant to cast a separatrix between Black Hole and Neutron Star signatures.
Pachon Leonardo A.
Rueda Jorge A.
Valenzuela-Toledo Cesar A.
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