Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10722676 | Physics Letters B | 2011 | 4 Pages |
Abstract
It has long been conjectured that the Euclidean Schwarzschild and Euclidean Kerr instantons are the only non-trivial asymptotically flat (AF) gravitational instantons. In this Letter, we show that this conjecture is false by explicitly constructing a new two-parameter AF gravitational instanton with a U(1)ÃU(1) isometry group, using the inverse-scattering method. It has Euler number Ï=3 and Hirzebruch signature Ï=1, and its global topology is CP2 with a circle S1 removed appropriately. Various other properties of this gravitational instanton are also discussed.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Nuclear and High Energy Physics
Authors
Yu Chen, Edward Teo,