The Newman–Janis algorithm, rotating solutions and Einstein–Born–Infeld black holes

DIEGO JULIO CIRILO-LOMBARDO

CLASSICAL AND QUANTUM GRAVITY

IOP PUBLISHING LTD

Año: 2004 p. 1407 - 1417

0264-9381

A new metric is obtained by applying a complex coordinate transformation 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 shows that the complex coordinate transformations have the interpretation given by Newman and Janis only in spacetime solutions with linear sources.