标题： 对称性和引力陈-西蒙斯拉格朗日项 显示英文标题

标题： Symmetries and gravitational Chern-Simons Lagrangian terms

摘要： 我们考虑在显式微分协变引力理论中添加纯引力陈-西蒙斯项的一些一般后果。 扩展之前论文的结果，我们扩大了那些在作用量中包含gCS项不会影响解和相应物理量的度规类。 在这些解描述黑洞（具有普遍视界拓扑）的情况下，我们证明黑洞熵也不会改变。 我们通过证明三个一般定理并研究它们的后果得出了这些结论。 其中一个定理指出，引力陈-西蒙斯项对黑洞熵的贡献在度规的局部缩放下是不变的。 显示英文摘要

摘要： We consider some general consequences of adding pure gravitational Chern-Simons term to manifestly diff-covariant theories of gravity. Extending the result of a previous paper we enlarge the class of metrics for which the inclusion of a gCS term in the action does not affect solutions and corresponding physical quantities. In the case in which such solutions describe black holes (of general horizon topology) we show that the black hole entropy is also unchanged. We arrive at these conclusions by proving three general theorems and studying their consequences. One of the theorems states that the contribution of the gravitational Chern-Simons to the black hole entropy is invariant under local rescaling of the metric.