Black hole-wormhole transition in (2 +1 )-dimensional Einstein-anti-de Sitter gravity coupled to nonlinear electrodynamics
Abstract
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 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.
- Publication:
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Physical Review D
- Pub Date:
- November 2018
- DOI:
- 10.1103/PhysRevD.98.104012
- arXiv:
- arXiv:1810.12111
- Bibcode:
- 2018PhRvD..98j4012C
- Keywords:
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- General Relativity and Quantum Cosmology
- E-Print:
- Typos corrected. Published in Physical Review D. arXiv admin note: text overlap with arXiv:1307.6655 by other authors