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:	Creators Email ORCID 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
Subjects:	Specific Sciences > Physics Specific Sciences > Physics > Relativity Theory
Date:	August 2009
URI:	https://philsci-archive.pitt.edu/id/eprint/4846

Available Versions of this Item

• On Tensorial Concomitants and the Non-Existence of a Gravitational Stress-Energy Tensor. (deposited 23 Aug 2009) [Currently Displayed]
  • On Tensorial Concomitants and the Non-Existence of a Gravitational Stress-Energy Tensor. (deposited 27 Nov 2010 13:25)

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