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 but have less energy than . 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