Newman–Janis algorithm
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Newman-Janis Algorithm
In general relativity, the Newman-Janis algorithm (NJA) is a complexification technique for finding exact solutions to the Einstein field equations. In 1964, Newman and Janis showed that the Kerr metric could be obtained from the Schwarzschild metric by means of a coordinate transformation and allowing the radial coordinate to take on complex values. Originally, no clear reason for why the algorithm works was known (Newman 1965).
In 1998, Drake and Szekeres gave a detailed explanation of the success of the algorithm and proved the uniqueness of certain solutions. In particular, the only perfect fluid solution generated by NJA is the Kerr metric and the only Petrov type D solution is the Kerr-Newman metric (Drake 1998).
The algorithm works well on f(R) and Einstein-Maxwell-Dilaton theories, but doesn't return expected results on Braneworld and Born-Infield theories.[1]
References
- Drake, S. P.; Szekeres, P. (1998). "An Explanation of the Newman-Janis Algorithm". arXiv:gr-qc/9807001.
- Newman, E. T.; Janis, A. I. (June 1965). "Note on the Kerr Spinning Particle Metric". Journal of Mathematical Physics. 6: 4.
See Also
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- ^ Canonico, Rosangela; Parisi, Luca; Vilasi, Gaetano (2011). "The Newman Janis Algorithm: A Review of Some Results". Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences: 159–169. doi:10.7546/giq-12-2011-159-169.
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