Soliton Solutions to the Einstein Equations in Five Dimensions

摘要: We present a new class of solutions in odd dimensions to Einstein's equations containing either positive or negative cosmological constant. These resemble the even-dimensional Eguchi-Hanson\char21{}(anti)-de Sitter [(A)dS] metrics, with added feature having Lorentzian signatures. They provide an affirmative answer open question as whether not there exist constant that asymptotically approach ${\mathrm{AdS}}_{5}/\ensuremath{\Gamma}$ but have less energy than ${\mathrm{AdS}}_{5}/\ensuremath{\Gamma}$. evidence these are lowest-energy states within their asymptotic class.