Speaker
Description
A topological geon is an asymptotically (anti-)de Sitter or flat spacetime with topology $\mathbb{R}\times{}M$, where $M$ is the punctured projective space, $M=\mathbb{R}P^3\,\backslash\{p\}$, and the removed point $p$ corresponds to the spacelike infinity. The spacelike slice $M$ is conventionally obtained as the quotient $W/\mathbb{Z}_2$ of a symmetric wormhole $W$ by the isometric action of the binary group. We study the general properties of static, spherically symmetric, charge topological geons supported by a selfgravitating, minimally coupled scalar field with negative kinetic energy and an arbitrary potential. It turns out, in particular, that the total electric charge of a geon is completely determined by its mass and size, that is, the size of the corresponding wormhole throat. We find and discuss some exact solutions of the complete system of field equations.
