Motion of test particles in the gravitational field of cosmic strings in different situations

We first analyse the motion of test particles around cosmic strings connected to black holes. We study both the geodesic equations and the Hamilton - Jacobi formalism to determine the trajectories. We have also discussed the FRW cosmological model containing a cosmic string and finally the behaviour of particles in the gravitational field of a domain wall crossed by cosmic strings. In most of the cases we show that the particles cannot be trapped by the cosmic strings.

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