Conservation laws in gravity: A unified framework
Conservation laws in gravity: A unified framework
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DOI：
10.1103/physrevd.90.024004
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发表时间：
2014-05
影响因子：
5
通讯作者：
Y. Obukhov;D. Puetzfeld
中科院分区：
文献类型：
--
作者：
Y. Obukhov;D. Puetzfeld
我们研究了广义度规-仿射引力理论，其中度规和连接是两个独立的基本变量。在这个框架中，我们使用拉格朗日-诺特方法推导出了在一般坐标变换下作用的不变性所对应的恒等式和守恒定律。将所得结果应用于具有非极小物质与重力耦合的广义模型，该模型的耦合函数任意依赖于协变引力场变量。
We study general metric-affine theories of gravity in which the metric and connection are the two independent fundamental variables. In this framework, we use Lagrange--Noether methods to derive the identities and the conservation laws that correspond to the invariance of the action under general coordinate transformations. The results obtained are applied to generalized models with nonminimal coupling of matter and gravity, with a coupling function that depends arbitrarily on the covariant gravitational field variables.