A class of wormhole solutions to higher-dimensional general relativity
The action of \((n+p)\) relativity (n spatial, p-1 compactified internal dimensions) for sourcefree solutions, translationally invariant in the p time and internal dimensions with signature \((+-...-)\) reduces to an action of \((n+1)\)-dimensional relativity with a repulsively coupled O(p) field. For \(n=3\), \(p=2\) (scalar) or 4 (chiral field), regular solutions, all of wormhole type, are found. The time-time component \(g_{00}\) changes its sign (metrical kink).
sourcefree asymptotically flat solutions
scientific article; zbMATH DE number 3850019