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Dynamic wormhole spacetimes coupled to nonlinear electrodynamics

Aaron V. B. Arellano·Francisco S. N. Lobo
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Abstract

We explore the possibility of dynamic wormhole geometries, within the context of nonlinear electrodynamics. The Einstein field equation imposes a contracting wormhole solution and the obedience of the weak energy condition. Furthermore, 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. Thus, taking into account the principle of finiteness, that a satisfactory theory should avoid physical quantities becoming infinite, one may rule out evolving wormhole solutions, in the presence of an electric field, coupled to nonlinear electrodynamics.

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Aaron V. B. Arellano, Francisco S. N. Lobo. 2006-12-13. Dynamic wormhole spacetimes coupled to nonlinear electrodynamics. https://arxiv.org/abs/gr-qc/0612083

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