论文标题
Komar的类似Komar的积分，用于渐近广告在爱因斯坦重力中的黑洞的质量和角动量
A Komar-like integral for mass and angular momentum of asymptotically AdS black holes in Einstein gravity
论文作者
论文摘要
本文的目的是增强与渐近抗DE保姆（ADS）黑洞的常规Komar积分。为此，我们首先获得了一个势能，该电势是通常的Komar电位的线性组合，由D'Alembertian ocerator的作用产生的两个三级导数项和杀伤向量上的外部导数产生。然后，这种高阶校正电位以负宇宙常数扩展到爱因斯坦的重力，从而产生了通常的Komar One与D'Alembertian作用的线性组合的电势。改进的科马尔电势的表面积分可以用作渐近广告空间的保守电荷的公式。最后，我们利用这样的公式来计算Schwarzschild-Ads黑洞的质量和角动量，常规广告黑色孔，渐近广告Kerr-Sen黑洞，Kerr-Nut-Ads Black Sholes和Kerr-Ads黑孔在任意任意尺寸中。结果与文献中的结果一致。
The purpose of this paper is to enhance the conventional Komar integral to asymptotically anti-de Sitter (AdS) black holes. In order to do so, we first obtain a potential that is the linear combination of the usual Komar potential with two third-order derivative terms generated by the action of the d'Alembertian operator and the exterior derivative upon a Killing vector. Then this higher-order corrected potential is extended to the Einstein gravity with a negative cosmological constant, yielding the potential that is the linear combination of the usual Komar one with it acted on by the d'Alembertian. The surface integral of the improved Komar potential can serve as a formula for conserved charges of asymptotically AdS spacetimes. Finally, we make use of such a formula to compute the mass and the angular momentum of Schwarzschild-AdS black holes, regular AdS black holes, asymptotically AdS Kerr-Sen black holes, Kerr-NUT-AdS black holes, and Kerr-AdS black holes in arbitrary dimensions. The results coincide with the ones in the literature.
