Stable Lorentzian Wormholes in Dilatonic Einstein-Gauss-Bonnet Theory

TL;DR

This paper explores stable Lorentzian wormholes within dilatonic Einstein-Gauss-Bonnet theory, demonstrating their stability without exotic matter and analyzing their physical properties and potential for traversal.

Contribution

It introduces a class of stable wormholes in a modified gravity theory that do not require exotic matter, expanding the understanding of possible wormhole solutions.

Findings

Some wormholes are linearly stable under radial perturbations

Derived a generalized Smarr relation for these wormholes

Analyzed particle trajectories and traversal forces within the wormholes

Abstract

We discuss the properties of Lorentzian wormholes in dilatonic Einstein-Gauss-Bonnet theory in four spacetime dimensions. These wormholes do not need any form of exotic matter for their existence. A subset of these wormholes is shown to be linearly stable with respect to radial perturbations. We perform a comprehensive study of their domain of existence, and derive a generalised Smarr relation for these wormholes. We also investigate their geodesics determining all possible particle trajectories, and perform a study of the acceleration and tidal forces that a traveler crossing the wormhole would feel.