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

Journal Article · Mon Mar 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.064016· OSTI ID:21409406

Hackmann, Eva; Laemmerzahl, Claus ^[1]; Hartmann, Betti; Sirimachan, Parinya ^[2]

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1. ZARM, Universitaet Bremen, Am Fallturm, 28359 Bremen (Germany)
2. School of Engineering and Science, Jacobs University Bremen, 28759 Bremen (Germany)

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.

• OSTI ID: 21409406
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 6; Other Information: DOI: 10.1103/PhysRevD.81.064016; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
ANALYTICAL SOLUTION
ANGULAR MOMENTUM
BLACK HOLES
COMPUTERIZED SIMULATION
EQUATIONS
MASS
MASSLESS PARTICLES
SCHWARZSCHILD RADIUS
SPACE-TIME
STRING MODELS
TEST PARTICLES
COMPOSITE MODELS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
PARTICLE MODELS
QUARK MODEL
SIMULATION