Geodesic motion in the space-time of a cosmic string

Abstract

We study the geodesic equation in the space-time of an Abelian-Higgs string and discuss the motion of massless and massive test particles. The geodesics can be classified according to the particles energy, angular momentum and linear momentum along the string axis. We observe that bound orbits of massive particles are only possible if the Higgs boson mass is smaller than the gauge boson mass, while massless particles always move on escape orbits. Moreover, neither massive nor massless particles can ever reach the string axis for non-vanishing angular momentum. We also discuss the dependence of light deflection by a cosmic string as well as the perihelion shift of bound orbits of massive particles on the ratio between Higgs and gauge boson mass and the ratio between symmetry breaking scale and Planck mass, respectively.

20 pages including 14 figures; v2: references added, discussion on null geodesics extended, numerical results added

References in corpus (2)

• Fitting CMB data with cosmic strings and inflation
• Orbits in the Field of a Gravitating Magnetic Monopole

Cited by in corpus (14)

• Analytical solutions of the geodesic equation in the spacetime of a black hole in f(R) gravity
• Acceleration of particles in spacetimes of black string
• A study of geodesic motion in a (2+1)-dimensional charged BTZ black hole
• Analytic solutions of the geodesic equation for Einstein-Maxwell-dilaton-axion black holes
• Geodesic motion in the (rotating) black string spacetime
• Neutrino currents in wakes of cosmic strings
• Detection of cosmic superstrings by geodesic test particle motion
• Analytical solutions of the geodesic equation in the space-time of a black hole surrounded by perfect fluid in Rastall theory
• Gravitational Rutherford scattering and Keplerian orbits for electrically charged bodies in heterotic string theory
• Gravitating superconducting strings with timelike or spacelike currents
• Diffusion of massive particles around an Abelian-Higgs string
• Geodesic motion in the space-time of cosmic strings interacting via magnetic fields
• Magnetic field amplification and decay in cosmic string wakes
• Geodesics and Bending of Light around a BTZ Black Hole Surrounded by Quintessential Matter