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In this paper we show that it is possible to derive the Kerr solution in an alternative, intuitive way, based on physical reasoning and starting from an orthogonal metric ansatz having manifest ellipsoidal space-time symmetry (ellipsoidal symmetry).
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1963
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C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (W. H. Freeman & Co., San Francisco, 1973), pp. 877
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A. Krasinski, “Ellipsoidal space-times, sources for the Kerr metric,” Ann. Phys. 112
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S. Chandrasekhar, The Mathematical Theory of Black Holes , (Oxford U.P.,New York, 1983), pp. 273––313, 10—40
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B. O’Neil, The Geometry of Kerr Black Holes , (A. K. Peters, Wellesley, 1995), p. 69
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J. Enderlein, “A Heuristic Derivation of Kerr Metric,” Am. J. Phys. 65
1997
Cited alongside, same era.
P. K. Townsend, Black Holes , Lecture Notes, arXiv:gr-qc/9707012, p. 76—90 (1997)
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Cited alongside, same era.
T. Jacobson, “When is g t t g r r = − 1 g_{tt}g_{rr}=-1 ?,” Class. Quantum Grav. 24
2007
Later among the works it cites.
S. Deser and J. Franklin, “De-re-constructing the Kerr Metric,” Gen. Rel. and Grav. 42
2010
Later among the works it cites.
N. Dadhich, “Einstein is Newton With Space Curved,” arXiv:1206.0635 (2012)
2012
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