The Kerr metric
Abstract
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 nohair theorems. It also includes Kerr perturbation theory and its application to black hole stability and quasinormal modes. The Kerr metric's importance in the astrophysics of quasars and accreting stellarmass black hole systems is detailed. A theme of the review is the 'miraculous' nature of the solution, both in describing in a simple analytic formula the most general rotating black hole, and in having unexpected mathematical properties that make many calculations tractable. Also included is a pedagogical derivation of the solution suitable for a first course in general relativity.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 June 2015
 DOI:
 10.1088/02649381/32/12/124006
 arXiv:
 arXiv:1410.2130
 Bibcode:
 2015CQGra..32l4006T
 Keywords:

 Kerr metric;
 black holes;
 Kerr perturbations;
 General Relativity and Quantum Cosmology;
 Astrophysics  High Energy Astrophysical Phenomena;
 High Energy Physics  Theory
 EPrint:
 37 pages. Submitted to Classical and Quantum Gravity for its "Milestones of General Relativity" focus issue to be published during the Centenary Year of GR. Minor edits to match journal article