Soliton Solutions to the Einstein Equations in Five Dimensions

Details Soliton Solutions to the Einstein Equations in Five Dimensions Soliton Solutions to the Einstein Equations in Five Dimensions

2005-08-15

arxiv.org/abs/hep-th/0508109v2

Phys.Rev.Lett.96:051104,2006

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, Latex; Final version that appeared in Phys. Rev. Lett; title changed by journal from original title "Eguchi-Hanson So

Scientific paper

10.1103/PhysRevLett.96.051104

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

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