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Published June 2022 | Published
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A calculation-free derivation of GR

Deser, S. ORCID icon
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Abstract

I derive GR from the standard observational requirements plus a recent proof that a linear spin 2 field can only propagate on a Ricci-flat (or constant) background, of which it is a perturbation: it is an Einstein field.

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© The Author(s) 2022. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. Received 19 May 2022. Accepted 09 June 2022. Published 25 June 2022. Funded by SCOAP3. I thank Marc Henneaux, my collaborator on [1], of which this note is an application. This work was supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, Award number de-sc0011632. Data Availability Statement. This manuscript has no associated data or the data will not be deposited. [Authors' comment: This is a theory article that does not require any data deposit.]

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August 22, 2023
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