The Newman-Janis Algorithm, Rotating Solutions and Einstein-Born-Infeld Black Holes

Diego Cirilo-Lombardo (1)

1 BLTP - Bogoliubov Laboratory of Theoretical Physics [Dubna]

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.

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]; Physique mathématique [math-ph]

Diego Cirilo-Lombardo. The Newman-Janis Algorithm, Rotating Solutions and Einstein-Born-Infeld Black Holes. Classical and Quantum Gravity, 2004, 21, pp.1407-1417. ⟨10.1088/0264-9381/21/6/009⟩. ⟨hal-00119406⟩