论文标题
通过场变量的差异转换对重力的修改
Modifications of gravity via differential transformations of field variables
论文作者
论文摘要
我们讨论了由于将场转换（以差异字段变换，DFT）应用于已知理论而出现的现场理论。我们从一些简单的DFT示例开始，以查看该过程的基本属性。在此过程中，该理论的动力可能会改变或保存。之后，我们集中于重力理论，这些理论是由于各种DFT应用于一般相对论的结果，即模拟性重力和regge-teitelboim嵌入理论。我们回顾了与这些理论中动力学扩展有关的主要结果，以及将理论在DFT之后写下的作用作为DFT前的原始理论的作用以及其他术语的可能性。这样的术语通常包含一些与拉格朗日乘数的约束，可以解释为其他物质的动作，这可能在宇宙学应用中使用，例如为了解释暗物质的影响。
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.
