An Anisotropic Wormhole:TUNNELLING in Time and Space

TL;DR

This paper explores a gravitational Euclidean instanton solution that models a tunneling process to a baby universe or a static wormhole connecting two flat spaces, involving gravity coupled with electromagnetism.

Contribution

It introduces a novel anisotropic wormhole solution with a specific topology, providing new insights into tunneling phenomena and wormhole structures in gravitational theories.

Findings

The Euclidean solution has topology $S^1\times S^2$.

It can be interpreted as tunneling to a baby universe or as a static wormhole.

The solution involves coupling gravity with electromagnetism.

Abstract

We discuss the structure of a gravitational euclidean instanton obtained through coupling of gravity to electromagnetism. Its topology at fixed $t$ is $S^1\times S^2$. This euclidean solution can be interpreted as a tunnelling to a hyperbolic space (baby universe) at $t=0$ or alternatively as a static wormhole that joins the two asymptotically flat spaces of a Reissner--Nordstr\"om type solution with $M=0$.