Total angular momentum from Dirac eigenspinors

Autor:	Szabados, Laszlo B.
Rok vydání:	2007
Předmět:	General Relativity and Quantum Cosmology
Zdroj:	Class.Quant.Grav.25:025007,2008
Druh dokumentu:	Working Paper
DOI:	10.1088/0264-9381/25/2/025007
Popis:	The eigenvalue problem for Dirac operators, constructed from two connections on the spinor bundle over closed spacelike 2-surfaces, is investigated. A class of divergence free vector fields, built from the eigenspinors, are found, which, for the lowest eigenvalue, reproduce the rotation Killing vectors of metric spheres, and provide rotation BMS vector fields at future null infinity. This makes it possible to introduce a well defined, gauge invariant spatial angular momentum at null infinity, which reduces to the standard expression in stationary spacetimes. The general formula for the angular momentum flux carried away be the gravitational radiation is also derived. Comment: 34 pages, typos corrected, four references added, appearing in Class. Quantum Grav
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0709.1072 Zobrazit plný text záznamu View this record from Arxiv