To Conserve, or Not to Conserve: A Review of Nonconservative Theories of Gravity

Apart from the familiar structure firmly-rooted in the general relativistic field equations where the energy–momentum tensor has a null divergence i.e., it conserves, there exists a considerable number of extended theories of gravity allowing departures from the usual conservative framework. Many of...

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Main Authors: Hermano Velten, Thiago R. P. Caramês
Format: Article
Language:English
Published: MDPI AG 2021-02-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/7/2/38
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author Hermano Velten
Thiago R. P. Caramês
author_facet Hermano Velten
Thiago R. P. Caramês
author_sort Hermano Velten
collection DOAJ
description Apart from the familiar structure firmly-rooted in the general relativistic field equations where the energy–momentum tensor has a null divergence i.e., it conserves, there exists a considerable number of extended theories of gravity allowing departures from the usual conservative framework. Many of these theories became popular in the last few years, aiming to describe the phenomenology behind dark matter and dark energy. However, within these scenarios, it is common to see attempts to preserve the conservative property of the energy–momentum tensor. Most of the time, it is done by means of some additional constraint that ensures the validity of the standard conservation law, as long as this option is available in the theory. However, if no such extra constraint is available, the theory will inevitably carry a non-trivial conservation law as part of its structure. In this work, we review some of such proposals discussing the theoretical construction leading to the non-conservation of the energy–momentum tensor.
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spelling doaj.art-279a058db55640da8839e72d4f8a30752023-12-03T12:28:03ZengMDPI AGUniverse2218-19972021-02-01723810.3390/universe7020038To Conserve, or Not to Conserve: A Review of Nonconservative Theories of GravityHermano Velten0Thiago R. P. Caramês1Departamento de Física, Universidade Federal de Ouro Preto (UFOP), Ouro Preto 35400-000, Minas Gerais, BrazilDepartamento de Física, Universidade Federal de Lavras (UFLA), Lavras 37200-000, Minas Gerais, BrazilApart from the familiar structure firmly-rooted in the general relativistic field equations where the energy–momentum tensor has a null divergence i.e., it conserves, there exists a considerable number of extended theories of gravity allowing departures from the usual conservative framework. Many of these theories became popular in the last few years, aiming to describe the phenomenology behind dark matter and dark energy. However, within these scenarios, it is common to see attempts to preserve the conservative property of the energy–momentum tensor. Most of the time, it is done by means of some additional constraint that ensures the validity of the standard conservation law, as long as this option is available in the theory. However, if no such extra constraint is available, the theory will inevitably carry a non-trivial conservation law as part of its structure. In this work, we review some of such proposals discussing the theoretical construction leading to the non-conservation of the energy–momentum tensor.https://www.mdpi.com/2218-1997/7/2/38general relativitycosmologyextended theories of gravity
spellingShingle Hermano Velten
Thiago R. P. Caramês
To Conserve, or Not to Conserve: A Review of Nonconservative Theories of Gravity
Universe
general relativity
cosmology
extended theories of gravity
title To Conserve, or Not to Conserve: A Review of Nonconservative Theories of Gravity
title_full To Conserve, or Not to Conserve: A Review of Nonconservative Theories of Gravity
title_fullStr To Conserve, or Not to Conserve: A Review of Nonconservative Theories of Gravity
title_full_unstemmed To Conserve, or Not to Conserve: A Review of Nonconservative Theories of Gravity
title_short To Conserve, or Not to Conserve: A Review of Nonconservative Theories of Gravity
title_sort to conserve or not to conserve a review of nonconservative theories of gravity
topic general relativity
cosmology
extended theories of gravity
url https://www.mdpi.com/2218-1997/7/2/38
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