Witten spinors on maximal, conformally flat hypersurfaces

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/52993

Title:	Witten spinors on maximal, conformally flat hypersurfaces
Authors:	Frauendiener,J;Nester,JM;Szabados,LB
Contributors:	物理學系
Keywords:	2-DIMENSIONAL SEN CONNECTIONS;BLACK-HOLES;ORTHONORMAL 3-FRAMES;GAUGE CONDITION;ENERGY
Date:	2011
Issue Date:	2012-06-11 10:53:17 (UTC+8)
Publisher:	國立中央大學
Abstract:	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.
Relation:	CLASSICAL AND QUANTUM GRAVITY
Appears in Collections:	[Department of Physics] journal & Dissertation

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