No static sphericaly symmetric wormholes in Horndeski theory

TL;DR

This paper proves that within the four-dimensional Horndeski theory, stable, static, spherically symmetric, asymptotically flat wormholes cannot exist.

Contribution

It provides a no-go theorem demonstrating the non-existence of certain wormholes in Horndeski gravity.

Findings

Stable, static, spherically symmetric wormholes are not admitted in Horndeski theory.

The proof applies to asymptotically flat solutions.

The result constrains possible exotic geometries in scalar-tensor theories.

Abstract

We consider the Horndeski theory in four-dimensional space-time. We show that this theory does not admit stable, static, spherically symmetric, asymptotically flat, Lorentzian wormholes.