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    String loops in the field of braneworld spherically symmetric black holes and naked singularities

    Zdeněk Stuchlík · 01 října, 2012 · Fyzika · 0 comments
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    Publication date: Oct 2012

    Abstract:
    We study motion of current-carrying string loops in the field of
    braneworld spherically symmetric black holes and naked singularities.
    The spacetime is described by the Reissner-Nordström geometry with
    tidal charge b reflecting the non-local tidal effects coming from the
    external dimension; both positive and negative values of the spacetime
    parameter b are considered. We restrict attention to the axisymmetric
    motion of string loops when the motion can be fully governed by an
    appropriately defined effective potential related to the energy and
    angular momentum of the string loops. In dependence on these two
    constants of the motion, the string loops can be captured, trapped, or
    can escape to infinity. In close vicinity of stable equilibrium points
    at the centre of trapped states the motion is regular. We describe how
    it is transformed to chaotic motion with growing energy of the string
    loop. In the field of naked singularities the trapped states located off
    the equatorial plane of the system exist and trajectories unable to
    cross the equatorial plane occur, contrary to the trajectories in the
    field of black holes where crossing the equatorial plane is always
    admitted. We concentrate our attention to the so called transmutation
    effect when the string loops are accelerated in the deep gravitational
    field near the black hole or naked singularity by transforming the
    oscillatory energy to the energy of the transitional motion. We
    demonstrate that the influence of the tidal charge can be substantial
    especially in the naked singularity spacetimes with b > 1 where the
    acceleration to ultrarelativistic velocities with Lorentz factor γ
    ~ 100 can be reached, being more than one order higher in comparison
    with those obtained in the black hole spacetimes.

    Authors:
    Stuchlík, Z.; Kološ, M.;

    http://adsabs.harvard.edu/abs/2012JCAP…10..008S

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