New exact traversable wormhole solution to the Einstein-scalar-Gauss-Bonnet Equations coupled to a power-Maxwell electrodynamics

We present a novel, exact, traversable wormhole (T-WH) solution for \((3+1)\)-dimensional Einstein-scalar-Gauss-Bonnet theory (EsGB) coupled to a power-Maxwell nonlinear electrodynamics (NLED). The solution is characterized by two parameters, \(\mathcal{Q}\!_{\rm e}\) and \(\mathcal{Q}\!_{_{ \mathca...

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Bibliographic Details
Published in:arXiv.org 2019-08
Main Authors: Cañate, Pedro, Breton, Nora
Format: Article
Language:English
Subjects:
Electrodynamics
Electromagnetic fields
Electromagnetism
Flux density
Time travel
Wormholes
Online Access:Get full text
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Summary:We present a novel, exact, traversable wormhole (T-WH) solution for \((3+1)\)-dimensional Einstein-scalar-Gauss-Bonnet theory (EsGB) coupled to a power-Maxwell nonlinear electrodynamics (NLED). The solution is characterized by two parameters, \(\mathcal{Q}\!_{\rm e}\) and \(\mathcal{Q}\!_{_{ \mathcal{S} }}\), associated respectively with the electromagnetic field and the scalar field. We show that for \(\mathcal{Q}^2_{\rm e} - \mathcal{Q}\!_{_{ \mathcal{S} }}>0\) the solution can be interpreted as a traversable wormhole. In the general case, with non-vanishing electromagnetic field, the scalar-Gauss-Bonnet term (sGB) is the only responsible for the negative energy density necessary for the traversability. In the limiting case of vanishing electromagnetic field, the scalar field becomes a phantom one keeping the WH throat open and in this case the Ellis WH solution \cite{Ellis} is recovered.
ISSN:2331-8422
DOI:10.48550/arxiv.1908.04690