The Kerr-Newman metric: A Review

Abstract

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 general relativity. We review the derivation of this metric from the Reissner-Nordstrom solution by means of a complex transformation algorithm and provide a brief overview of its basic geometric properties. We also include some discussion of interpretive issues, related metrics, and higher-dimensional analogues.

30 pages, 1 figure. v2: typos and some signs fixed

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• CFT Duals for Extreme Black Holes
• The Kerr Metric
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Cited by in corpus (15)

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• Linear mode stability of Kerr-Newman and its quasinormal modes
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• Correspondence of eikonal quasinormal modes and unstable fundamental photon orbits for Kerr-Newman black hole
• Rotating black holes with an anisotropic matter field
• Charged rotating black holes at large D
• Five-dimensional Janis-Newman algorithm
• Why does the Kerr-Newman black hole have the same gyromagnetic ratio as the electron?
• On a Crucial Role of Gravity in the Formation of Elementary Particles
• Supergravity, complex parameters and the Janis-Newman algorithm
• Generalized Einstein-Maxwell theory: Seeley-DeWitt coefficients and logarithmic corrections to the entropy of extremal and non-extremal black holes
• A new length scale, and modified Einstein-Cartan-Dirac equations for a point mass
• Geometry of isolated horizons
• Sources of gravitational waves in asymptotically flat Einstein-Maxwell spacetime