The geodesic structure of BPS one-branes in five dimensions

Abstract

Abstract In this paper, we continue previous work where one-brane spacetimes coupled to the $${\mathcal {N}}=2$$ 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.