Browsing by Author "Harko, T."

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    IS DARK MATTER AN EXTRA-DIMENSIONAL EFFECT?
    (WORLD SCIENTIFIC PUBL CO PTE LTD, 2009) Kahil, M. E.; Harko, T.
    We investigate the possibility that the observed behavior of test particles outside galaxies, which is usually explained by assuming the presence of dark matter, is the result of the dynamical evolution of particles in higher dimensional space times. Hence, dark matter may be a direct consequence of the presence of an extra force, generated by the presence of extra dimensions, which modifies the dynamic law of motion, but does not change the intrinsic properties of the particles, like, for example, the mass (inertia). We discuss in some detail several possible particular forms for the extra force, and the acceleration law of the particles is derived. Therefore, the constancy of the galactic rotation curves may be considered as an empirical evidence for the existence of the extra dimensions
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    Path and Path Deviation equations of Fractal Space-Times: A Brief Introduction
    (arXiv.org e-Print archive, 2008) E. Kahil, M; Harko, T.
    The idea that the quantum space-time of microphysics may be fractal everywhere was intensively investigated recently, and several authors have presented the geodesic equations of different fractal space - times. In the present work we obtain the geodesic and the geodesic deviation equations in fractal space-times by using the Bazanski method. We also extend this approach to obtain the equations of motion for spinning and spinning charged particles in the above-mentioned spaces, in a similar way to their counterparts in Riemannian geometry.