Charged wormholes in higher dimensions

TL;DR

This paper constructs higher-dimensional charged wormhole solutions connecting two $AdS_d$ spaces, with geometries resembling $AdS_{d-p} imes S^p$, supported by higher form gauge fields and a cosmological constant, revealing diverse phase structures.

Contribution

It introduces new regular charged wormhole solutions in higher dimensions supported by higher form gauge fields, expanding the understanding of $AdS$ geometries and their phase structures.

Findings

Solutions connect two $AdS_d$ spaces with wormhole topology.

Geometries interpolate between $AdS_{d-p} imes S^p$ and other $AdS_q imes S^{d-q}$ forms.

Discovered phase structure of initial conditions leading to different interpolations.

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.