Charged wormholes in higher dimensions

Abstract

We construct regular solutions of Einstein's equations connecting two copies of the $AdS_d$ space. Our geometries approach $AdS_{d-p} \times S^p$ in the interior, and topologically they have wormhole-like structures with non-contractible spheres $S^p$. Being inspired by charged branes, these solutions are supported by higher form gauge fields and a $d$-dimensional cosmological constant. Our ansatz also covers regular wormholes connecting two copies of $AdS_{q} \times S^{d-q}$ with various values of q, and we uncover an interesting phase structure of initial conditions leading to different interpolations.