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Magnetic Dilaton Rotating Strings in the Presence of Exponential Nonlinear Electrodynamics

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Abstract

In this paper, we construct a new class of four-dimensional spinning magnetic dilaton string solutions which produces a longitudinal nonlinear electromagnetic field. The Lagrangian of the matter field has the exponential form. We study the physical properties of the solution in ample details. Geometrical, causal and geodisical structures of the solutions are investigated, separately. We confirm that the spacetime is both null and geodesically complete. We find that these solutions have no curvature singularity and no horizon, but have a conic geometry. We investigate the effects of variation of charge and the intensity of the dilaton field, on the deficit angle. Due to the presence of the dilaton field, the asymptotic behavior of the solutions are neither flat nor (anti-) de Sitter [(A)dS]. Furthermore, we extend our study to the higher dimensions and obtain the (n+1)-dimensional magnetic rotating dilaton strings with k≤[n/2] rotation parameters and calculate conserved quantities of the solutions. Although these solutions are not asymptotically (A)dS, we use counterterm method to calculate conserved quantities. We also calculate electric charge and show that the net electric charge of the spinning string is proportional to the rotating parameter and the electric field only exists when the rotation parameter does not vanish.

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Acknowledgments

We thank referees for constructive comments which helped us improve the paper significantly. A. Sheykhi thanks Shiraz University Research Council. This work has been supported financially by Research Institute for Astronomy and Astrophysics of Maragha, Iran.

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Authors and Affiliations

  1. Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz, 71454, Iran

    A. Sheykhi & Z. Mahmoudi

  2. Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P.O. Box 55134-441, Maragha, Iran

    A. Sheykhi

Authors
  1. A. Sheykhi
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  2. Z. Mahmoudi
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Correspondence to A. Sheykhi.

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Sheykhi, A., Mahmoudi, Z. Magnetic Dilaton Rotating Strings in the Presence of Exponential Nonlinear Electrodynamics. Int J Theor Phys 55, 3875–3891 (2016). https://doi.org/10.1007/s10773-016-3016-9

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  • DOI: https://doi.org/10.1007/s10773-016-3016-9

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