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On Tensorial Concomitants and the Non-Existence of a Gravitational Stress-Energy Tensor

Curiel, Erik (2009) On Tensorial Concomitants and the Non-Existence of a Gravitational Stress-Energy Tensor. [Preprint]

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Abstract

Based on an analysis of what it may mean for one tensor to depend in the proper way on another, I prove that, under certain natural conditions, there can be no tensor whose interpretation could be that it represents gravitational stress-energy in general relativity. It follows that gravitational energy, such as it is in general relativity, is necessarily non-local. Along the way, I prove a result of some interest in own right about the structure of the associated jet bundles of the bundle of Lorentz metrics over spacetime.


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Item Type: Preprint
Creators:
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Curiel, Erik
Keywords: general relativity gravitational energy tensor concomitants jet bundles
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Relativity Theory
Depositing User: Dr. Erik Curiel
Date Deposited: 23 Aug 2009
Last Modified: 27 Nov 2010 13:25
Item ID: 4846
URI: http://philsci-archive.pitt.edu/id/eprint/4846

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