Soliton Solutions to the Einstein Equations in Five Dimensions

Journal Article · Fri Feb 10 04:00:00 EST 2006 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.96.0· OSTI ID:20778589

Clarkson, R; Mann, R B ^[1]

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1. Department of Physics, University of Waterloo, Waterloo, Ontario N2L 3G1 (Canada)

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{sub 5}/{gamma} but have less energy than AdS{sub 5}/{gamma}. We present evidence that these solutions are the lowest-energy states within their asymptotic class.

• OSTI ID: 20778589
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 5 Vol. 96; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COSMOLOGICAL CONSTANT
COSMOLOGY
DE SITTER GROUP
EINSTEIN FIELD EQUATIONS
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL SOLUTIONS
METRICS
SOLITONS