Disc sources for Conformastationary metrics

Details Disc sources for Conformastationary metrics Disc sources for Conformastationary metrics

1999-10-25

arxiv.org/abs/gr-qc/9910087v1

Class.Quant.Grav. 16 (1999) 4023-4034

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, Latex, one postscript figure, accepted for publication by Class. Quantum Grav

Scientific paper

10.1088/0264-9381/16/12/319

Conformastationary metrics have been derived by Perjes and by Israel and Wilson as source-free solutions of the Einstein-Maxwell equations. By analogy with the conformastatic metrics which have charged dust sources it was assumed that conformastationary metrics would be the external metrics of charged dust in steady motion. However for axially symmetric conformastationary metrics we show that, as well as moving dust, hoop tensions are always necessary to balance the centrifugal forces induced by the motion. Exact examples of conformastationary metrics with disk sources are worked out in full. Generalisations to non-axially symmetric conformastationary metrics are indicated.

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