Soliton Solutions to the Einstein Equations in Five Dimensions

2005/08/31 by R. Clarkson, R Clarkson, Robert B. Mann +1 · 3 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #hep-th

paper · pdf · doi:10.1103/physrevlett.96.051104

published as Phys.Rev.Lett.96:051104,2006 · 9 pages, Latex; Final version that appeared in Phys. Rev. Lett; title changed by journal from original title "Eguchi-Hanson Solitons"

openalex publication_date 2006/02/07 · arxiv created 2006/03/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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/gamma but have less energy than AdS5/gamma. We present evidence that these solutions are the lowest-energy states within their asymptotic class.

Citations

• Stability of gravity with a cosmological constant
• Quantum Fields in Curved Space
• Action, Mass and Entropy of Schwarzschild-de Sitter black holes and the de Sitter/CFT Correspondence
• Elliptic Genera of Symmetric Products and Second Quantized Strings

Cited by

• Hyperbolic energy and Maskit gluings
• Fivebranes from gauge theory
• AdS3 to dS3 transition in the near horizon of asymptotically de Sitter solutions