# A new Einstein-nonlinear electrodynamics solution in 2+1-dimensions

## EMU I-REP

 dc.contributor.author Mazharimousavi, S. Habib dc.contributor.author Halilsoy, Mustafa dc.contributor.author Gürtuğ, Özay dc.date.accessioned 2016-01-05T14:02:26Z dc.date.available 2016-01-05T14:02:26Z dc.date.issued 2014 dc.identifier.citation S. Habib Mazharimousavi, Mustafa Halilsoy and Ozay Gurtug “A new Einstein-nonlinear electrodynamics solution in 2+1-dimensions”, Eur. Phys. J. C 74, 2735 (2014). en_US dc.identifier.issn 1434-6052 (online) dc.identifier.issn 1434-6044 (print) dc.identifier.other DOI: 10.1140/epjc/s10052-014-2735-4 dc.identifier.uri http://hdl.handle.net/11129/1921 dc.description The file in this item is the publisher version (published version) of the article. dc.description.abstract We introduce a class of solutions in 2+1−dimensional Einstein-Power-Maxwell theory for circularly symmetric electric field. The electromagnetic field is considered with an angular component given by $% F_{\mu \nu }=E_{0}\delta_{\mu }^{t}\delta_{\nu }^{\theta }$ for E0= constant. First, we show that the metric for zero cosmological constant and the Power-Maxwell Lagrangian of the form of ∣∣FμνFμν∣∣−−−−−−−√, coincides with the solution given in 2+1−% dimensional gravity coupled with a massless, self interacting real scalar field. With the same Lagrangian and a non-zero cosmological constant we obtain a non-asymptotically flat wormhole solution in 2+1−dimensions. The confining motions of massive charged and chargeless particles are investigated too. Secondly, another interesting solution is given for zero cosmological constant together with conformal invariant condition. The formation of timelike naked singularity for this particular case is investigated within the framework of the quantum mechanics. Quantum fields obeying the Klein-Gordon and Dirac equations are used to probe the singularity and test the quantum mechanical status of the singularity. en_US dc.language.iso en_US en_US dc.publisher European Physical Journal C: Particles and Fields, Springer en_US dc.relation.ispartofseries Springer;Eur. Phys. J. C (2014) 74:2735 dc.subject general relativity en_US dc.subject black holes en_US dc.title A new Einstein-nonlinear electrodynamics solution in 2+1-dimensions en_US dc.type Article en_US dc.description.version Publisher Version; (Publisher’s PDF as it appears in the Journal).
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