Most General Spherically Symmetric M2-branes and Type IIB Strings

TL;DR

This paper classifies the most general spherically symmetric M2-branes and type IIB strings, discovering new smooth wormhole solutions connecting different asymptotic geometries, and analyzes their curvature and traversability.

Contribution

It provides a comprehensive classification of spherically symmetric M2-branes and type IIB strings, including new smooth wormhole solutions and general Ricci-flat five-dimensional solutions.

Findings

Twelve classes of M2-branes identified.

New smooth, traversable wormholes connecting flat and AdS_4×S^7 regions.

Most general Ricci-flat solutions in five dimensions with specific isometries.

Abstract

We obtain the most general spherically symmetric M2-branes and type IIB strings, with \R^{1,2}\times SO(8) and \R^{1,1}\times SO(8) isometries respectively. We find that there are twelve different classes of M2-branes, and we study their curvature properties. In particular we obtain new smooth M2-brane wormholes that connect two asymptotic regions: one is flat and the other can be either flat or AdS_4\times S^7. We find that these wormholes are traversable with certain time-like trajectories. We also obtain the most general Ricci-flat solutions in five dimensions with \R^{1,1}\times SO(3) isometries.