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 | ||||||
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Keywords: | general relativity gravitational energy tensor concomitants jet bundles | ||||||
Subjects: | Specific Sciences > Physics Specific Sciences > Physics > Relativity Theory |
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Depositing User: | Dr. Erik Curiel | ||||||
Date Deposited: | 27 Nov 2010 13:25 | ||||||
Last Modified: | 27 Nov 2010 13:25 | ||||||
Item ID: | 8408 | ||||||
Subjects: | Specific Sciences > Physics Specific Sciences > Physics > Relativity Theory |
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Date: | August 2009 | ||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/8408 |
Available Versions of this Item
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On Tensorial Concomitants and the Non-Existence of a Gravitational Stress-Energy Tensor. (deposited 23 Aug 2009)
- On Tensorial Concomitants and the Non-Existence of a Gravitational Stress-Energy Tensor. (deposited 27 Nov 2010 13:25) [Currently Displayed]
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