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Magnetic strings in f(R) gravity

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Abstract

We construct a new class of spinning magnetic string solutions in f(R) gravity with constant scalar curvature. These solutions which produce a longitudinal magnetic field have no curvature singularity and no horizon, but have a conic geometry with a deficit angle. We also generalize this class of solutions to the case of spinning magnetic solutions with one rotation parameter. We find that the spinning string has a net electric charge which is proportional to the rotation parameter. With choosing a suitable counterterm, we remove the divergences of the action. The conserved quantities of the solutions are also calculated by using the counterterm method.

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Authors and Affiliations

  1. Center for Excellence in Astronomy and Astrophysics (CEAA-RIAAM), P. O. Box 55134-441, Maragha, Iran

    Ahmad Sheykhi

  2. Physics Department and Biruni Observatory, Shiraz University, 71454, Shiraz, Iran

    Ahmad Sheykhi

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  1. Ahmad Sheykhi
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Correspondence to Ahmad Sheykhi.

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Sheykhi, A. Magnetic strings in f(R) gravity. Gen Relativ Gravit 44, 2271–2281 (2012). https://doi.org/10.1007/s10714-012-1388-6

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  • DOI: https://doi.org/10.1007/s10714-012-1388-6

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