Wormhole inducing inflation with Einstein Gauss Bonnet dilaton interaction

TL;DR

This paper explores Euclidean wormhole configurations in Einstein Gauss-Bonnet dilaton theory, demonstrating transitions to inflationary expansion and analyzing numerical solutions with various potentials.

Contribution

It introduces new analytic and numerical solutions for wormholes in Einstein Gauss-Bonnet dilaton gravity, including a transition to inflation and detailed potential effects.

Findings

Wormholes transition to exponential inflation after Euclidean phase

Numerical solutions show multiple extrema for inverse power law potentials

Single minimum wormholes observed with exponential potential

Abstract

We present a few Euclidean wormhole configurations using both the analytic and numerical solutions of the field equations considering Einstein Gauss-Bonnet dilaton interaction in 4-dimensional Robertson Walker Euclidean background. In one analytic solution we present transition from a wormhole to an exponential expansion with Lorentzian time $t$ using $\tau=it$ after passing through an era of oscillating Euclidean wormhole. The numerical solutions of the scale factor $a(\tau)$ show multiple local maxima and minima about a global minimum for inverse power law potentials, while for exponential potential the wormholes have a single minimum. The Hubble parameter and deceleration parameter obtained by curve fit of $a(\tau)$ of the numerical solution show an inflation away from the throat of the wormhole invoking analytic continuation by $\tau=it$. A sharp decay of the potential is also observed.