Epicyclic Frequencies Derived From The Effective Potential: Simple And Practical Formulae |
| |
Authors: | M A Abramowicz W Klu?niak |
| |
Institution: | 1. On Leave from Department of Astrophysics, G?teborg University, G?teborg, Sweden, S-412-96 2. Department of Theoretical Physics, Chalmers University, G?teborg, Nordita, Copenhagen, Sweden, Denmark, S-412-96 3. Institute of Astronomy, Zielona Góra University, Zielona Góra, Poland 4. Copernicus Centre, Bartycka 18, PL-00-716, Warszawa, Poland
|
| |
Abstract: | We present and discuss a short and simple derivation of orbital epicyclic frequencies for circular geodesic orbits in stationary
and axially symmetric spacetimes. Such spacetimes include as special cases analytically known black hole Kerr and Schwarzschild
spacetimes, as well as the analytic Hartle-Thorne spacetime and all numerically constructed spacetimes relevant for rotating
neutron stars. Our derivation follows directly from energy and angular momentum conservation and it uses the concept of the
effective potential. It has never been published, except for a few special cases, but it has already become a part of the
common knowledge in the field. |
| |
Keywords: | black holes neutron stars orbital motion epicyclic frequencies |
本文献已被 SpringerLink 等数据库收录! |
|