Evolving wormhole geometries within nonlinear electrodynamics

Abstract

In this work, we explore the possibility of evolving (2+1) and (3+1)-dimensional wormhole spacetimes, conformally related to the respective static geometries, within the context of nonlinear electrodynamics. For the (3+1)-dimensional spacetime, it is found that the Einstein field equation imposes a contracting wormhole solution and the obedience of the weak energy condition. Nevertheless, in the presence of an electric field, the latter presents a singularity at the throat, however, for a pure magnetic field the solution is regular. For the (2+1)-dimensional case, it is also found that the physical fields are singular at the throat. Thus, taking into account the principle of finiteness, which states that a satisfactory theory should avoid physical quantities becoming infinite, one may rule out evolving (3+1)-dimensional wormhole solutions, in the presence of an electric field, and the (2+1)-dimensional case coupled to nonlinear electrodynamics.

17 pages, 1 figure; to appear in Classical and Quantum Gravity. V2: minor corrections, including a reference

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• General class of wormhole geometries in conformal Weyl gravity
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• Evolving topologically deformed wormholes supported in the dark matter halo
• Exact wormhole solutions with nonminimal kinetic coupling
• Generalised Ellis-Bronnikov Wormholes in $f(R)$ Gravity
• Two-fluid evolving Lorentzian wormholes
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• Dyonic configurations in nonlinear electrodynamics coupled to general relativity
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• Traversable wormholes coupled to nonlinear electrodynamics
• Dynamic wormhole geometries in hybrid metric-Palatini gravity
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• A new shape function for wormholes in $f(R)$ gravity and General Relativity
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• Some properties of evolving wormhole geometries within nonlinear electrodynamics
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• Role of higher -dimensional evolving wormholes in the formation of a big rip singularity
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• Non-exotic wormholes in 4-D Einstein-Gauss-Bonnet gravity
• Novel Casimir wormholes in Einstein gravity
• Evolving Wormholes in a Cosmological Background
• Complexity Conjecture of Regular Electric Black Holes
• Magnetic Morris-Thorne wormhole in 2+1-dimensions
• Dynamical Wormhole Solutions in $f(R,T)$ Gravity
• Cosmological Lorentzian Wormholes via Noether symmetry approach
• Magnetized dusty black holes and wormholes
• Trace anomaly contributions to semi-classical wormhole geometries