The geodesic structure of BPS one-branes in five dimensions

TL;DR

This paper investigates the geometric and symmetry properties of BPS one-brane solutions in five-dimensional supergravity, revealing how their geodesic structures depend on a coupling constant, with implications for their causal and singular behavior.

Contribution

It extends previous work by analyzing the full geodesic structure and symmetries of five-dimensional one-brane spacetimes coupled to hypermultiplets, highlighting the role of the coupling constant.

Findings

Geodesic behavior varies with the coupling constant

Solutions exhibit smooth, causally connected geodesics for positive coupling

Solutions show singular, repulsive geodesics for negative coupling

Abstract

In this paper, we continue previous work where one-brane spacetimes coupled to the N=2 ungauged five dimensional hypermultiplets were found. We explore their symmetries as well as study their full geodesic structure. The one-branes are characterized by a coupling constant that distinguishes the behavior of the geodesics from smooth and causally connected in the positive case to singular and repulsive in the negative case.