Gravitational energy in a small region for the modified Einstein and Landau-Lifshitz pseudotensors

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/38938

Title:	Gravitational energy in a small region for the modified Einstein and Landau-Lifshitz pseudotensors
Authors:	So,LL
Contributors:	物理研究所
Keywords:	BEL-ROBINSON TENSOR;GENERAL-RELATIVITY;EXPRESSIONS
Date:	2009
Issue Date:	2010-07-08 13:59:46 (UTC+8)
Publisher:	中央大學
Abstract:	The purpose of the classical Einstein and Landau-Lifshitz and other pseudotensors is to determine the gravitational energy. Neither of them can guarantee a positive energy in holonomic frames. In the small sphere approximation, it has been required that the quasilocal expression for the gravitational energy-momentum density should be proportional to the Bel-Robinson tensor B-alpha beta mu nu. However, we propose a new tensor V-alpha beta mu nu. that is the sum of certain tensors S-alpha beta mu nu. and K-alpha beta mu nu; it has certain properties so that it gives the same gravitational 'energy-momentum' density content as B-alpha beta mu nu. does. In comparison, the main difference is that B-alpha beta mu nu. fulfils the dominant energy condition while V-alpha beta mu nu. does not. Moreover, we show that a modified Einstein pseudotensor turns out to be a generalization of one of the Chen-Nester quasilocal expressions, while the modified Landau-Lifshitz pseudotensor becomes the Papapetrou pseudotensor; these two modified pseudotensors have positive gravitational energy in a small region.
Relation:	CLASSICAL AND QUANTUM GRAVITY
Appears in Collections:	[Graduate Institute of Physics] journal & Dissertation

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