关于通过拓扑正则化定义二次曲率引力引力能量的注记
A note on the definition of gravitational energy for quadratic curvature gravity via topological regularization
AI总结：
本文证明在四维二次曲率引力中通过拓扑正则化定义的引力能量可被文献[3]的定义涵盖，并将该结果推广至任意偶数维的通用引力理论。
摘要：
在带有负宇宙常数的四维二次曲率引力框架下，文献[1]提出了具有反德西特（AdS）渐近解的引力能量定义。这是通过向引力作用量添加适当的拓扑不变项以使变分问题适定而实现的。在本文中，我们证明了通过拓扑正则化程序的定义在四维下可被文献[3]的定义涵盖。受此启发，我们进一步将结果推广到任意偶数维的通用引力理论。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
