# The Kerr metric

@article{Teukolsky2015TheKM, title={The Kerr metric}, author={Saul A. Teukolsky}, journal={Classical and Quantum Gravity}, year={2015}, volume={32} }

This review describes the events leading up to the discovery of the Kerr metric in 1963 and the enormous impact the discovery has had in the subsequent 50 years. The review discusses the Penrose process, the four laws of black hole mechanics, uniqueness of the solution, and the no-hair theorems. It also includes Kerr perturbation theory and its application to black hole stability and quasi-normal modes. The Kerr metric's importance in the astrophysics of quasars and accreting stellar-mass black…

## 118 Citations

New results for electromagnetic quasinormal and quasibound modes of Kerr black holes

- Physics
- 2014

The perturbations of the Kerr metric and the miracle of their exact solutions play a critical role in the comparison of predictions of general relativity with astrophysical observations of compact…

Astrophysics and cosmology

- Physics
- 2018

Analytical solutions of the equations for massless fields with arbitrary spins have been obtained in the Kerr metric in the null one-way form, i.e. in the form of ingoing or outgoing, according to…

Transforms for the early Kerr metric

- Physics
- 2021

The concept and usage of the word ’metric’ within General Relativity is briefly described. The early work of Roy Kerr led to his original 1963 algebraic, rotating metric. This discovery and his…

Deformation of extremal black holes from stringy interactions

- Physics
- 2018

Black holes are a powerful setting for studying general relativity and theories beyond GR. However, analytical solutions for rotating black holes in beyond-GR theories are difficult to find because…

Point particles and Appell’s solutions on the axis of a Kerr black hole for an arbitrary spin in terms of the Debye potentials

- Physics
- 2020

The Teukolsky master equation -- a fundamental equation for test fields of any spin, or perturbations, in type D spacetimes -- is classically treated in its separated form. Then the solutions…

Towards a Gordon form of the Kerr spacetime

- PhysicsClassical and Quantum Gravity
- 2018

It is not currently known how to put the Kerr spacetime metric into the so-called Gordon form, although the closely related Kerr–Schild form of the Kerr metric is well known. A Gordon form for the…

The Kerr-Newman metric: A Review

- Physics
- 2014

The Kerr-Newman metric describes a very special rotating, charged mass and is the most general of the asymptotically flat stationary 'black hole' solutions to the Einstein-Maxwell equations of…

Geometry of black hole spacetimes

- Physics
- 2016

These notes, based on lectures given at the summer school on Asymptotic Analysis in General Relativity, collect material on the Einstein equations, the geometry of black hole spacetimes, and the…

Neutral particle trajectory in the Kerr field

- Physics
- 2019

In this paper, the neutral particle trajectory around a rotating black hole in the four-dimensional Kerr space–time is studied. The equation of motion is derived by using the Kerr metric within the…

Test black holes, scattering amplitudes, and perturbations of Kerr spacetime

- PhysicsPhysical Review D
- 2020

It has been suggested that amplitudes for quantum higher-spin massive particles exchanging gravitons lead, via a classical limit, to results for scattering of spinning black holes in general…

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