A note on the definition of gravitational energy for quadratic curvature gravity via topological regularization  

作　　者：Meng-Liang Wang Jun-Jin Peng 王梦亮;彭俊金(Guizhou Key Laboratory in Physics and Related Areas,Guizhou University of Finance and Economics,Guiyang 550025,China;School of Physics and Electronic Science,Guizhou Normal University,Guiyang 550001,China)

机构地区：[1]Guizhou Key Laboratory in Physics and Related Areas,Guizhou University of Finance and Economics,Guiyang 550025,China [2]School of Physics and Electronic Science,Guizhou Normal University,Guiyang 550001,China

出　　处：《Chinese Physics B》2020年第12期159-161,共3页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.11865006 and 11847152)。

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 by Giribet et al.[Phys.Rev.D 98044046(2018)].This was achieved by adding proper topological invariant terms to the gravity action to render the variation problem well-posed.We prove that the definition via the procedure of topological regularization can be covered by our previous work[Int.J.Mod.Phys.A 352050102(2020)]in four dimensions.Motivated by this,we further generalize the results to generic diffeomorphism invariant theories of gravity in arbitrary even dimensions.

关 键 词：gravitational energy higher-derivative gravity asymptotically AdS gravity 

分 类 号：O314[理学—一般力学与力学基础]