A unifying coordinate family for the Kerr-Newman metric

Details A unifying coordinate family for the Kerr-Newman metric A unifying coordinate family for the Kerr-Newman metric

Nov 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009gregr..41.2619r&link_type=abstract

General Relativity and Gravitation, Volume 41, Issue 11, pp.2619-2632

Other

Kerr-Newman Geometry, Black Holes, General Relativity, Kerr–Newman Geometry

Scientific paper

A new unified metric form is presented for the Kerr-Newman geometry. The new form is a generalization of the Boyer-Lindquist metric involving an arbitrary gauge function of the spheroidal radial variable. Each choice of the gauge function corresponds to a coordinate system including four of the most important coordinate systems for Kerr-Newman (Boyer-Lindquist, Kerr, Kerr-Schild and Doran coordinates). The representation is given in terms of a single Minkowski frame together with the gauge function. This Minkowski frame arises by boosting a static orthonormal frame which is adapted to spheroidal coordinates. Properties of the boost reflect the rotating nature of the Kerr-Newman solution including an identification of the angular velocities of the disk and the horizon matching previously known values obtained in other ways.

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