Ellis--Bronnikov wormhole in Quasi-topological Gravity

Abstract

We construct higher-dimensional traversable wormholes in quasi-topological gravity (QTG) supported by a phantom scalar field. Using a static, spherically symmetric ansatz, we numerically analyze how quasi-topological gravity corrections affect the geometry and physical properties of the wormhole solutions. The resulting wormhole solutions are symmetric about the throat. Negative mass can arise for certain choices of parameters. For certain parameter ranges, the scalar charge $\mathcal{D}$ of the phantom field rapidly decreases with increasing the higher-curvature coupling parameter $\alpha$ and approaches zero. Moreover, by changing $\alpha$, the overall level of the Kretschmann scalar is also lowered. Finally, for sufficiently large $\alpha$, $-g_{tt}$ becomes close to zero near the throat, exhibiting a ``horizon''-like structure.