Janis-Newman algorithm: simplifications and gauge field transformation
General Relativity and Quantum Cosmology
2015-02-17 v2
Abstract
The Janis-Newman algorithm is an old but very powerful tool to generate rotating solutions from static ones through a set of complex coordinate transformations. Several solutions have been derived in this way, including solutions with gauge fields. However, the transformation of the latter was so far always postulated as an ad hoc result. In this paper we propose a generalization of the procedure, extending it to the transformation of the gauge field. We also present a simplification of the algorithm due to G. Giampieri. We illustrate our prescription on the Kerr-Newman solution.
Cite
@article{arxiv.1410.2602,
title = {Janis-Newman algorithm: simplifications and gauge field transformation},
author = {Harold Erbin},
journal= {arXiv preprint arXiv:1410.2602},
year = {2015}
}
Comments
6 pp. (+ 1 app.). v2: minor modifications to match published version, available at Springer via http://dx.doi.org/10.1007/s10714-015-1860-1