Ellis wormhole without a phantom scalar field

Abstract

In this paper, we present an exact solution for (3 + 1)-dimensional Einstein-scalar-Gauss-Bonnet theory (EsGB) in electrovacuum. The solution is characterized by only one parameter, <i>Q</i>, which in general can be associated with the electromagnetic field and the scalar field. We show that the solution corresponds to a charged wormhole with a throat at the region <i>r</i> = |<i>Q</i>| and is also supported by a real scalar field having a positive kinetic term. We show that the solution belongs to the most general class of solutions known as Ellis wormholes but without the need for "exotic matter" or a phantom scalar field.