Soliton Solutions to the Einstein Equations in Five Dimensions

R. Clarkson and R. B. Mann
Phys. Rev. Lett. 96, 051104 – Published 7 February 2006

Abstract

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.

  • Received 8 August 2005

DOI:https://doi.org/10.1103/PhysRevLett.96.051104

©2006 American Physical Society

Authors & Affiliations

R. Clarkson* and R. B. Mann

  • Department of Physics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada

  • *Electronic address: r2clarks@astro.uwaterloo.ca
  • Electronic address: mann@avatar.uwaterloo.ca

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Issue

Vol. 96, Iss. 5 — 10 February 2006

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