论文标题

一般相对性的连接独立公式

Connection independent formulation of general relativity

论文作者

Harada, Junpei

论文摘要

提出了与连接无关的一般相对论的公式,其中动力学不取决于连接的选择。除爱因斯坦 - 希尔伯特作用外,该公式中的重力作用还包括一个附加的标量项。连接上没有任何条件。然而,这种配方会产生爱因斯坦方程,即使歧管具有边界,也不会添加长臂猿式的York术语。此外,该公式对一般相对性,触发性重力和对称触发性重力产生统一的描述。

A connection-independent formulation of general relativity is presented, in which the dynamics does not depend on the choice of connection. The gravity action in this formulation includes one additional scalar term in addition to the Einstein-Hilbert action. No conditions on the connection are imposed. Nevertheless, this formulation yields the Einstein equations, without adding the Gibbons-Hawking-York term even when a manifold has a boundary. Furthermore, this formulation yields a unified description of general relativity, teleparallel gravity, and symmetric teleparallel gravity.

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