Complete set of solutions of the geodesic equation in the space-time of a Schwarzschild black hole pierced by a cosmic string

被引：43

作者：

Hackmann, Eva ^{[1
]}

Hartmann, Betti ^{[2
]}

Laemmerzahl, Claus ^{[1
]}

Sirimachan, Parinya ^{[2
]}

机构：

[1] Univ Bremen, ZARM, D-28359 Bremen, Germany

[2] Jacobs Univ Bremen, Sch Sci & Engn, D-28759 Bremen, Germany

来源：

PHYSICAL REVIEW D | 2010年 / 81卷 / 06期

关键词：

TESTS; FIELD;

D O I：

10.1103/PhysRevD.81.064016

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study the geodesic equation 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 this equation 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.

引用

页数：18

共 30 条

[1]

Abramowitz M., 1972, HDB MATH FUNCTIONS F, P627

[2] ABELIAN-HIGGS HAIR FOR BLACK-HOLES [J].