Journal
PHYSICAL REVIEW LETTERS
Volume 96, Issue 5, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.96.051104
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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 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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