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    Dipole magnetic field on a Schwarzschild background and related epicyclic frequencies

    Zdeněk Stuchlík · 01 prosince, 2007 · Fyzika · 0 comments
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    Publication date: Dec 2007

    Abstract:
    Several models of the X-ray flux modulation observed in the low-mass
    X-ray binaries (LMXBs), in particular the neutron star LMXBs, deal with
    Keplerian and epicyclic frequencies of geodesic orbital motion. We
    discuss non-geodesic corrections to the orbital and epicyclic
    frequencies of charged test particles caused by presence of a neutron
    star magnetic field. The magnetic field is considered to be generated by
    an intrinsic static dipole magnetic moment of a neutron star represented
    by the Schwarzschild geometry. We present fully general relativistic
    formulae for the orbital and epicyclic frequencies, obtained using the
    appropriate equations governing perturbations of the circular motion.
    The most significant correction arises for the radial epicyclic
    frequency. The zero point of the corrected radial epicyclic frequency
    defines radius of the effective innermost stable circular orbit
    "(EISCO)." The dipole magnetic field also violates equality of the
    orbital and vertical epicyclic frequencies corresponding to the
    spherical symmetry of the Schwarzschild geometry.

    Authors:
    Bakala, Pavel; Šrámková, Eva; Stuchlík, Zdeněk; Török, Gabriel;

    http://adsabs.harvard.edu/abs/2007ragt.meet….1B

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