English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The question of the existence of gravitational stress-energy in generalrelativity has exercised investigators in the field since the inception of thetheory. Folklore has it that no adequate definition of a localizedgravitational stress-energetic quantity can be given. Most arguments to thateffect invoke one version or another of the Principle of Equivalence. I arguethat not only are such arguments of necessity vague and hand-waving but, worse,are beside the point and do not address the heart of the issue. Based on anovel analysis of what it may mean for one tensor to depend in the proper wayon another, I prove that, under certain natural conditions, there can be notensor whose interpretation could be that it represents gravitationalstress-energy in general relativity. It follows that gravitational energy, suchas it is in general relativity, is necessarily non-local. Along the way, Iprove a result of some interest in own right about the structure of theassociated jet bundles of the bundle of Lorentz metrics over spacetime.

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