Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-12-11
Phys.Rev.D81:064016,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
21 pages; section 3 shortened, references added; accepted for publication in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.81.064016
We study the geodesic equations in the space-time of a Schwarzschild black hole pierced by an infinitely thin cosmic string and give the complete set of analytical solutions of these equations for massive and massless particles, respectively. The solutions of the geodesic equations can be classified according to the particle's energy and angular momentum, the ratio between the component of the angular momentum aligned with the axis of the string and the total angular momentum, the deficit angle of the space-time and as well the horizon radius (or mass) of the black hole. For bound orbits of massive test particles we calculate the perihelion shift, we discuss light deflection and comment on the Newtonian limit.
Hackmann Eva
Hartmann Betti
Laemmerzahl Claus
Sirimachan Parinya
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