Equatorial circular orbits of some static gravitational fields with naked singularities

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Scientific paper

We investigate the equatorial circular orbits in the Weyl metrics with naked singularities. We find that in many Weyl fields, as well as in the Reissner-Nordström e>m metric, there are equatorial equilibrium regions corresponding to large gravitational red shifts at infinity. However, except in the Reissner-Nordström case, such regions are unstable. Thus these solutions might not be very realistic models of large-red-shift objects. On the other hand, it is likely that there may be gravitational-synchrotron-radiation orbits in the Weyl metrics. These and other properties of naked singularities indicate that they should be studied more closely for possible roles in exotic astrophysical phenomena.

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