arXiv 2102.034572021-02-06gr-qcastro-ph.CO

守恒，还是不守恒：非守恒引力理论述评

To conserve, or not to conserve: A review of nonconservative theories of gravity

Hermano Velten, Thiago R. P. Caramês

备注：: 40 pages. Invited review to Special Issue "Universe: 5th Anniversary"
发表信息：: Universe 2021, 7(2), 38
DOI：: 10.3390/universe7020038

摘要：

除了熟悉的结构牢固地植根于广义相对论场方程，其中能量-动量张量具有零发散，即，它保守，有相当数量的扩展理论的重力允许偏离通常的保守框架。这些理论中的许多在过去几年中变得流行，旨在描述暗物质和暗能量背后的现象学。然而，在这些场景中，通常会看到试图保持能量-动量张量的保守性。大多数情况下，这是通过一些额外的约束，以确保标准守恒定律的有效性，只要这个选项在理论中是可用的。然而，如果没有这样的额外约束，理论将不可避免地携带一个非平凡的守恒定律作为其结构的一部分。在这项工作中，我们回顾了一些这样的建议，讨论的理论建设导致非守恒的能量-动量张量。

英文摘要：

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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