A Derivation of the Kerr–Newman Metric Using Ellipsoid Coordinate Transformation | Chapter 06 | Theory and Applications of Physical Science Vol. 1
The Kerr–Newman metric describes a
special rotating charged mass and is the most general solution for the asymptotically
stable “black-hole” solution in the Einstein–Maxwell equations in general
relativity. Because these are nonlinear partial differential equations, it is
difficult to find an exact analytical solution other than spherical symmetry.
This study presented a new derivation of the Kerr–Newman metric which is an
extension of the authors’ previous research. Using the ellipsoid symmetry of
space-time in the Kerr metric, an ellipsoidal coordinate transformation method
was performed and the Kerr–Newman metric was more intuitively obtained. The
relation with this method and Newman–Janis algorithm was discussed.
Author(s) Details
Dr. Yu-Ching, Chou
Health 101 Clinic, 1F.,
No.97, Guling St., Zhongzheng District, Taipei City 100, Taiwan and Archilife
Research Foundation, 2F.-1, No.3, Ln. 137, Changchun Rd., Zhongshan District,
Taipei City 104, Taiwan.
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