Kerr-AdS黑洞的基于独立联络形式拉氏量的守恒量  

Conserved quantities of Kerr-AdS black holes based on a connection independent Lagrangian

作　　者：王耀 郭伟杰 彭俊金 WANG Yao;GUO Wei-Jie;PENG J un-Jin(School of Physics and Electronic Science,Guizhou Normal University,Guiyang 55000l,China;Guizhou Provincial Key Laboratory of Radio Astronomy and Data Processing,Guizhou Normal University,Guiyang 550001,China)

机构地区：[1]贵州师范大学物理与电子科学学院,贵阳550001 [2]贵州师范大学贵州省射电天文数据处理重点实验室,贵阳550001

出　　处：《四川大学学报（自然科学版）》2024年第1期149-154,共6页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金(11865006);贵州省自然科学基金([2018]5769)。

摘　　要：基于爱因斯坦引力理论的独立联络形式,由诺特定理可以导出一个含任意参考背景仿射联络的推广Katz-Bicak-Lynden-Bell(KBL)势,借此得到一个守恒量定义式.本文把该定义式应用于渐近anti-de Sitter(AdS)且转动的Kerr-AdS黑洞时空的质量与角动量的定义,给出了与其他标准方法一致的结果.特别地,本文首次构造了一个比通常KBL超势中的参考背景联络更具一般性的新联络,相关结果表明KBL方法中的参考背景联络不具有唯一性,而对它的基本要求就是保持理论的协变性.On the basis of a connection-independent Lagrangian for Einstein gravity,a generalized Katz-Bicak-Lynden-Bell(KBL)potential that contains an arbitrary affine connection is derived.In light of the potential,a formula for conserved charges can be proposed.In the present paper,such a formula succeeds in the definition of the mass and angular momentum for Kerr-AdS black holes.Particularly,we have constructed a new more general reference background connection in comparison with the Levi-Civita one adopted in the KBL superpotential.This further demonstrates that the reference background connection in the KBL method is not unique and it plays a fundamental role in preserving the covariance of the gravity theory.

关 键 词：Kerr-AdS黑洞 引力场的守恒荷 KBL方法 KERR黑洞 

分 类 号：P145.8[天文地球—天体物理]