Witten spinors on maximal, conformally flat hypersurfaces

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题名:	Witten spinors on maximal, conformally flat hypersurfaces
作者:	Frauendiener,J;Nester,JM;Szabados,LB
贡献者:	物理學系
关键词:	2-DIMENSIONAL SEN CONNECTIONS;BLACK-HOLES;ORTHONORMAL 3-FRAMES;GAUGE CONDITION;ENERGY
日期:	2011
上传时间:	2012-06-11 10:53:17 (UTC+8)
出版者:	國立中央大學
摘要:	The boundary conditions that exclude zeros of the solutions of the Witten equation (and hence guarantee the existence of a 3-frame satisfying the so-called special orthonormal frame gauge conditions) are investigated. We determine the general form of the conformally invariant boundary conditions for the Witten equation, and find the boundary conditions that characterize the constant and the conformally constant spinor fields among the solutions of the Witten equations on compact domains in extrinsically and intrinsically flat, and on maximal, intrinsically globally conformally flat spacelike hypersurfaces, respectively. We also provide a number of exact solutions of the Witten equation with various boundary conditions (both at infinity and on inner or outer boundaries) that single out nowhere vanishing spinor fields on the flat, non-extreme Reissner-Nordstrom and Brill-Lindquist data sets. Our examples show that there is an interplay between the boundary conditions, the global topology of the hypersurface and the existence/non-existence of zeros of the solutions of the Witten equation.
關聯:	CLASSICAL AND QUANTUM GRAVITY
显示于类别:	[物理學系] 期刊論文

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