Spin coefficients for four-dimensional neutral metrics, and null geometry

JOURNAL OF GEOMETRY AND PHYSICS

卷:59

Article

关键词: Neutral geometry;    Walker geometry;    Four dimensions;    Spinors;   

DOI  :  10.1016/j.geomphys.2009.04.008

来源: Elsevier

【 摘 要 】

Notation for spin coefficients for metrics of neutral signature in four dimensions is introduced. The utility and interpretation of spin coefficients is explored through themes in null geometry familiar from (complex) general relativity. Four-dimensional Walker geometry is exploited to provide examples and the generalization of the real neutral version of Plebanski's second heavenly equation to certain Walker geometries given in [P.R. Law, Y. Matsushita, A Spinor approach to Walker geometry, Comm. Math. Phys. 282 (2008) 577-623] is extended further. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free