Novel traversable wormhole in General Relativity and Einstein-Scalar-Gauss-Bonnet theory supported by nonlinear electrodynamics

TL;DR

This paper introduces a new traversable wormhole solution supported by a nonlinear electrodynamics model that satisfies physical conditions, and shows it also solves Einstein-scalar-Gauss-Bonnet theory with a real scalar field.

Contribution

It presents the first traversable wormhole solution in Einstein-nonlinear electrodynamics coupled with a phantom scalar field that reduces to Maxwell theory in weak fields, also solving Einstein-scalar-Gauss-Bonnet theory.

Findings

Supports a physically plausible nonlinear electrodynamics model

Provides an exact wormhole solution in Einstein-nonlinear electrodynamics with scalar field

Demonstrates the solution also exists in Einstein-scalar-Gauss-Bonnet theory

Abstract

Several traversable wormholes (T-WHs) of the Morris-Thorne type have been presented as exact solutions of Einstein-nonlinear electrodynamics gravity (GR-NLED), e.g. \cite{Arellano2009, Bronnikov2018,Bronnikov_Walia2021, Canate_Breton2018, Canate_Breton_Ortiz2020, Canate_Magos_Breton2020}. However, none of these solutions is support by a nonlinear electrodynamics model satisfying plausible conditions. In this work, we present the first traversable wormhole solution of Einstein-nonlinear electrodynamics gravity coupled to a self-interacting phantom scalar field (GR-NLED-SF) with a NLED model such that in the limit of weak field becomes the Maxwell electrodynamics, is presented. Furthermore, we show that this novel T-WH spacetime is also an exact solution of the Einstein-scalar-Gauss-Bonnet (EsGB) theory with a nonlinear electrodynamics source, but now with a real scalar field having a positive kinetic term.