Invariant characterization of the Kerr spacetime: Locating the horizon and measuring the mass and spin of rotating black holes using curvature invariants

被引：37

作者：

Abdelqader, Majd ^{[1
]}

Lake, Kayll ^{[1
]}

机构：

[1] Queens Univ, Dept Phys, Kingston, ON K7L 3N6, Canada

来源：

PHYSICAL REVIEW D | 2015年 / 91卷 / 08期

基金：

加拿大自然科学与工程研究理事会;

关键词：

RIEMANN TENSOR; SET;

D O I：

10.1103/PhysRevD.91.084017

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We provide an invariant characterization of the physical properties of the Kerr spacetime. We introduce two dimensionless invariants, constructed out of some known curvature invariants, that act as detectors for the event horizon and ergosurface of the Kerr black hole. We also show that the mass and angular momentum can be extracted from local measurements of the curvature invariants, which in the weak field limit could be used to approximate the total angular momentum and mass of a system of merging black holes. Finally, we introduce a dimensionless invariant that gives a local measure of the "Kerrness" of the spacetime.

引用

页数：9

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