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arXiv 2002.01745gr-qchep-th
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用场变量的微分变换修正重力

Modifications of gravity via differential transformations of field variables

A. A. Sheykin, D. P. Solovyev, V. V. Sukhanov, S. A. Paston

摘要:

我们讨论场论出现的结果,应用场变换与衍生物(微分场变换,DFT)的一个已知的理论。我们从DFT的一些简单示例开始,以了解该过程的基本属性。在这个过程中,理论的动力学可能改变,也可能保持不变。然后,我们集中在引力理论出现的各种DFT应用于广义相对论,即模仿引力和Regge-Teitelboim嵌入理论。我们回顾了与这些理论中的动力学扩展相关的主要结果,以及将DFT后的理论的作用记为DFT前的原理论的作用加上附加项的可能性。这样的项通常包含一些拉格朗日乘子的约束,并且可以被解释为附加物质的作用,这可能在宇宙学应用中有用,例如解释暗物质的影响。

英文摘要:

We discuss field theories appearing as a result of applying field transformations with derivatives (differential field transformations, DFT) to a known theory. We begin with some simple examples of DFTs to see the basic properties of the procedure. In this process the dynamics of the theory might either change or conserve. After that we concentrate on the theories of gravity which appear as a result of various DFT applied to general relativity, namely the mimetic gravity and Regge-Teitelboim embedding theory. We review main results related to the extension of dynamics in these theories, as well as the possibility to write down the action of a theory after DFT as the action of the original theory before DFT plus an additional term. Such a term usually contains some constraints with Lagrange multipliers and can be interpreted as an action of additional matter, which might be of use in cosmological applications, e.g. for the explanation of the effects of dark matter.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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