Wormhole inducing inflation with Einstein Gauss Bonnet dilaton interaction

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.

17 pages, 17 figures, communicated in MPLA. arXiv admin note: text overlap with arXiv:2111.13913

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