五维最小规范超引力中渐近AdS黑洞的类Komar守恒荷

Komar-like charges for asymptotically AdS black holes in five-dimensional minimal gauged supergravity

Komar积分可以有效地定义渐近平直黑洞的质量与角动量等守恒荷,但不能用于定义渐近anti-de Sitter(AdS)黑洞的质量.如果需要将Komar积分拓展到渐近AdS引力理论中,必须对其进行修正.一种可行的方案就是在守恒势中引入额外的Killing矢量场的三阶导数项,得到高阶修正的Komar积分.基于该积分,本文提供了计算五维最小规范超引力中渐近AdS黑洞的质量与角动量的又一有效方法.

As is well known,the Komar integral can be used to define the mass and the angular momentum of asymptotically flat black holes,but it fails to give a well definition for the mass of black holes with AdS asymptotic.A feasible way to solve this problem is to bring third-order derivatives of the Killing vector into the conserved potential.In this paper,on the basis of the higher-order corrected Komar integral,we provide another effective method to compute the mass and the angular momentum of asymptotically AdS black holes in the framework of five-dimensional minimal gauged supergravity.