More on the fact that Rastall = GR

Fuente: arXiv
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Autore principale: Golovnev, Alexey
Natura: Preprint
Pubblicazione: 2023
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author Golovnev, Alexey
author_facet Golovnev, Alexey
contents Rastall gravity is the same as General Relativity, with a simple algebraic redefinition of what is called the energy-momentum tensor. Despite it having been very clearly explained by M. Visser several years go, there are still many papers claiming big differences between the two formulations of gravitational equations and trying to use them for problems of physics. When going this way, the totally ignored task is to explain why the conserved energy-momentum quantities and the quantities used for other purposes are different from each other. Moreover, when researchers are using the non-conserved energy density and pressure for determining the sound speed, it is just inconsistent with the Rastall gravity. I carefully explain all this, and also show how one could construct a variational principle for producing equations in the Rastall form.
format Preprint
id arxiv_https___arxiv_org_abs_2311_00131
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle More on the fact that Rastall = GR
Golovnev, Alexey
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Rastall gravity is the same as General Relativity, with a simple algebraic redefinition of what is called the energy-momentum tensor. Despite it having been very clearly explained by M. Visser several years go, there are still many papers claiming big differences between the two formulations of gravitational equations and trying to use them for problems of physics. When going this way, the totally ignored task is to explain why the conserved energy-momentum quantities and the quantities used for other purposes are different from each other. Moreover, when researchers are using the non-conserved energy density and pressure for determining the sound speed, it is just inconsistent with the Rastall gravity. I carefully explain all this, and also show how one could construct a variational principle for producing equations in the Rastall form.
title More on the fact that Rastall = GR
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2311.00131