论文标题
关于通过拓扑正则化的二次曲率重力的重力定义的注释
A note on the definition of gravitational energy for quadratic curvature gravity via topological regularization
论文作者
论文摘要
在负宇宙常数的外观中，在抗宇宙的框架中，在参考文献中提出了抗DE保姆（ADS）渐近剂的重力的定义。 [1]。这是通过在重力作用中添加适当的拓扑不变术语来实现的，以使变异问题得到充分解决。在本说明中，我们证明了通过参考文献中给出的拓扑正则化过程可以涵盖的定义。 [3]在四个方面。在此激励的情况下，我们进一步将结果推广到任意甚至维度的通用重力理论。
Within the framework of four-dimensional quadratic curvature gravities in the appearance of a negative cosmological constant, a definition for the gravitational energy of solutions with anti-de Sitter (AdS) asymptotics was put forward in Ref. [1]. This was achieved by adding proper topological invariant terms to the gravity action to render the variation problem well-posed. In the present note, we prove that the definition via the procedure of topological regularization can be covered by the one given in Ref. [3] in four dimensions. Motivated by this, we further generalize the results to generic gravity theories in arbitrary even dimensions.
