General-relativistic nonlinear field: A kink solution in a generalized geometry

A time-independent spherically symmetric solution of general-relativistic nonlinear field equations is obtained. It is shown that the nonlinear negative-energy scalar field has a localized solution with a positive mass. Wheeler's wormhole-type geometry is generated by the field. It can be regarded as a three-dimensional extension of the usual kink solution on the generalized spatial topology, connecting the two vacuum states from one asymptotically flat space to the other through the Rosen-Einstein bridge. The solution is shown to be completely singularity-free.

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