2020-03-262020-03-262018Physical Review D; Vol. 98, Núm. 1024700010https://hdl.handle.net/20.500.12585/8920In this paper we present two results in (2+1) gravity coupled to nonlinear electrodynamics. First we determine the general form of the electromagnetic field tensor in (2+1) gravity coupled to nonlinear electrodynamics in stationary cyclic spacetimes. Secondly, we determine a family of exact solutions in (2+1) gravity sourced by a nonlinear electromagnetic field. The solutions are characterized by five parameters: mass M, angular momentum J, cosmological constant Λ, and two electromagnetic charges qα and qβ. Remarkably, the solution can be interpreted as a traversable wormhole, provided the fulfillment of certain inequalities by the characteristic parameters; fine-tuning of the cosmological constant leads to an extreme black hole, whereas by switching off one of the electromagnetic charges, we obtain the Bañados-Teitelboim-Zanelli (BTZ) black hole. © 2018 American Physical Society.Recurso electrónicoapplication/pdfenghttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/article10.1103/PhysRevD.98.104012info:eu-repo/semantics/restrictedAccessAtribución-NoComercial 4.0 InternacionalUniversidad Tecnológica de BolívarRepositorio UTB557444186006701747290