Journal
PHYSICAL REVIEW D
Volume 98, Issue 10, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.98.104012
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Funding
- CONACYT [284489]
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In 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 Lambda, and two electromagnetic charges q(alpha) and q(beta). 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 BafiadosTeitelboim-Zanelli (BTZ) black hole.
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