Extended Newman-Janis algorithm for rotating and Kerr-Newman de Sitter and anti de Sitter metrics

2015/04/07 by de Urreta, E. J. Gonzalez, Socolovsky, M.
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1504.01728

Abstract

The Newman-Janis algorithm is well known to provide rotating black holes solutions to Einstein's equations from static seeds, through a complexification of a radial and a time coordinates. However, an ambiguity remains for the replacement of the r^-1 and r^-2 powers of the radial coordinate. We show here that the two cases are unified by a simple expression which allows its extension to the r² power, characteristic of the de Sitter (dS) and anti de Sitter (AdS) spacetimes. The formula leads almost automatically to the Kerr and Kerr-Newman-dS and -AdS metrics.

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