Ellis--Bronnikov wormhole in Quasi-topological Gravity

TL;DR

This paper constructs and analyzes higher-dimensional traversable wormholes in quasi-topological gravity supported by phantom scalar fields, revealing how higher-curvature corrections influence their geometry and physical properties.

Contribution

It introduces a numerical framework for constructing wormholes in quasi-topological gravity and explores the effects of higher-curvature terms on their structure and physical characteristics.

Findings

Negative mass solutions are possible for certain parameters.

Scalar charge decreases with increasing higher-curvature coupling.

Higher curvature reduces the Kretschmann scalar and can induce horizon-like features.

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.