S. Habib Mazharimousavi, M. Halilsoy
We obtain a $2+1-$dimensional solution to gravity, coupled with nonlinear electrodynamic Lagrangian of the form of $\sqrt{\left| F_{\mu \nu}F^{\mu \nu}\right|}$. The electromagnetic field is considered with an angular component given by $F_{\mu \nu}=E_{0}\delta_{\mu}^{t}\delta_{\nu}^{\theta}$ with $E_{0}$=constant. We show that the metric coincides with the solution given by Schmidt and Singleton in PLB 721(2013)294 in $2+1-$dimensional gravity coupled with a massless, self interacting real scalar field. Finally the confining motions of massive charged as well as chargeless particles are investigated.
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http://arxiv.org/abs/1304.5206
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