New exact traversable wormhole solution to the Einstein-scalar-Gauss-Bonnet equations coupled to 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, Qₑ and QS, associated respectively with the electromagnetic field and the scalar field. We show that for Qₑ²-QS>0 the solution can be interpreted as a traversable wormhole. In the general case, with nonvanishing 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 [J. Math. Phys. (N.Y.) 14, 104 (1973); Gen. Relativ. Gravit. 10, 105 (1979)] is recovered.