Cosmic scenario of early Universe in context of Euclidean wormhole in dilatonic Einstein Gauss Bonnet gravity

TL;DR

This paper explores wormhole configurations in the early universe within dilatonic Einstein Gauss-Bonnet gravity, revealing inflationary behavior and potential decay through analytic and numerical solutions.

Contribution

It introduces new wormhole solutions in this gravity framework and analyzes their evolution during the early universe using both analytic and numerical methods.

Findings

Wormholes exhibit inflationary expansion in early universe.

Numerical solutions are consistent across different potentials.

Potential decay correlates with wormhole evolution.

Abstract

We present some wormhole configurations using analytic and numerical solutions of the Euclidean field equations considering Einstein Gauss Bonnet dilaton coupled interaction in the Robertson Walker metric. Analytic solutions invoking slow-roll type approximation for some potentials yield identical wormholes in the early era. Eventually, in a later era, the universe enters to an expanding era much faster than usual inflation accompanied by oscillations with analytic continuation \tau=it. The numerical solutions of wormholes in terms of the scale factor a(\tau) are almost identical for some standard potentials of the dilaton field, except for the evolution of potentials. The Hubble parameter and deceleration parameter obtained by curve fit of a(\tau) of the numerical solution of wormhole yield an inflationary era away from the throat of the wormhole using \tau=it. A sharp decay of the potential is also observed.