HYPERCYLINDRICAL VACUUM SPACETIME SOLUTIONS

Abstract

A brief report is given on hypercylindrical vacuum spacetime solutions and their geometrical properties. The five-dimensional Schwarzschild black string solution characterized by the mass density, which is known to reveal the so-called Gregory-Laflamme instability, turns out to be a special case of a wider class of hypercylindrical vacuum spacetime solutions characterized by two parameters, i.e., mass density and tension. Recent work on the solution space even including a momentum flow or a cosmological constant, higher dimensional extensions than five and some stability analysis under small perturbations are briefly summarized.