Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898483 | Journal of Geometry and Physics | 2015 | 9 Pages |
Abstract
Any constant-scalar-curvature Kähler (cscK) metric on a complex surface may be viewed as a solution of the Einstein–Maxwell equations, and this allows one (LeBrun, 2010; Shu, 2009) to produce solutions of these equations on any 4-manifold that arises as a compact complex surface with b1b1 even. However, not all solutions of the Einstein–Maxwell equations on such manifolds arise in this way; new examples can be constructed by means of conformally Kähler geometry.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Claude LeBrun,