科研之友
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摘要
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) x U(1) isometry group, using the inverse-scattering method. It has Euler number chi = 3 and Hirzebruch signature tau = 1, and its global topology is CP(2) with a circle S(1) removed appropriately. Various other properties of this gravitational instanton are also discussed.
- 出版日期2011-9-14
