Kerr–Newman metric

The Kerr-Newman metric ( by Roy Kerr and Ezra Ted Newman) is an exact, asymptotically flat, stationary and axisymmetric solution of the Einstein equations for electrically charged, rotating black holes.

The line element has the form:

Where the following abbreviations have been used:

Variables designate M is the mass, Q is the electric charge and the angular momentum J of the black hole.

In the case of an electrically neutral black hole (), the Kerr-Newman metric simplifies to the Kerr metric. In the case of a non- rotating black hole ( ), the Reissner - Nordström metric results and for a neutral and non- rotating object () results in the Schwarzschild metric.

Source

• Charles Misner, Kip S. Thorne, John. A. Wheeler: Gravitation. WH Freeman, San Francisco 1973, ISBN 0-7167-0344-0

• General Theory of Relativity