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arXiv · 1107.0763

A new AF gravitational instanton

Yu Chen·Edward Teo
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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)xU(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.

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Yu Chen, Edward Teo. 2011-07-05. A new AF gravitational instanton. https://doi.org/10.1016/j.physletb.2011.07.076

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