Phys. Rev. Lett. 96, 051104 (2006) [4 pages]Soliton Solutions to the Einstein Equations in Five DimensionsReceived 8 August 2005; published 7 February 2006 We present a new class of solutions in odd dimensions to Einstein’s equations containing either a positive or a 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 a negative cosmological constant that asymptotically approach AdS5/Γ but have less energy than AdS5/Γ. We present evidence that these solutions are the lowest-energy states within their asymptotic class. © 2006 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.96.051104
DOI:
10.1103/PhysRevLett.96.051104
PACS:
04.50.+h, 11.25.Mj, 11.25.Tq
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