A new AF gravitational instanton

Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.physletb.2011.07.076

Title:	A new AF gravitational instanton
Authors:	Chen, Y. Teo, E.
Issue Date:	14-Sep-2011
Citation:	Chen, Y., Teo, E. (2011-09-14). A new AF gravitational instanton. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics 703 (3) : 359-362. ScholarBank@NUS Repository. https://doi.org/10.1016/j.physletb.2011.07.076
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)×U(1) isometry group, using the inverse-scattering method. It has Euler number χ=3 and Hirzebruch signature τ=1, and its global topology is CP2 with a circle S1 removed appropriately. Various other properties of this gravitational instanton are also discussed. © 2011 Elsevier B.V.
Source Title:	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
URI:	http://scholarbank.nus.edu.sg/handle/10635/95648
ISSN:	03702693
DOI:	10.1016/j.physletb.2011.07.076
Appears in Collections:	Staff Publications

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