An Anisotropic Wormhole:TUNNELLING in Time and Space

Abstract

We discuss the structure of a gravitational euclidean instanton obtained through coupling of gravity to electromagnetism. Its topology at fixed t is S1× S2. 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.

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