The Newman-Janis Algorithm, Rotating Solutions and Einstein-Born-Infeld Black Holes
General Relativity and Quantum Cosmology
2010-12-06 v1 Mathematical Physics
math.MP
Abstract
A new metric is obtained by applying a complex coordinate trans- formation to the static metric of the self-gravitating Born-Infeld monopole. The behaviour of the new metric is typical of a rotating charged source, but this source is not a spherically symmetric Born-Infeld monopole with rotation. We show that the structure of the energy-momentum tensor obtained with this new metric does not correspond to the typical structure of the energy momentum tensor of Einstein-Born-Infeld theory induced by a rotating spherically symmetric source. This also show, that the complex coordinate transformations have the interpretation given by Newman and Janis only in space-time solutions with linear sources.
Cite
@article{arxiv.gr-qc/0612063,
title = {The Newman-Janis Algorithm, Rotating Solutions and Einstein-Born-Infeld Black Holes},
author = {Diego Cirilo-Lombardo},
journal= {arXiv preprint arXiv:gr-qc/0612063},
year = {2010}
}