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Some properties of a solution of the Ernst equation

2001/09/25 by J. Gariel, J Gariel, G. Marcilhacy +3
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Circular symmetry #Deformation (meteorology) #Einstein #Einstein equations #Einstein field equations #Mathematics and Applications #Relativity and Gravitational Theory #Rotational symmetry #Simple (philosophy) #Vacuum solution #gr-qc

paper · pdf · doi:10.1088/0264-9381/19/8/307

published as Class.Quant.Grav.19:2157-2170,2002 · 17 pages, LaTeX, 10 EPS figures, uses graficx.sty

arxiv created 2001/09/25 · openalex publication_date 2002/03/25 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Using Ehlers and unitary transformations, from Bonanos solution of the Ernst equation, we build a new vacuum stationary axisymmetric solution of Einstein equations depending on three parameters. The parameters are associated with the total mass of the source and its angular momentum. The third parameter produces a topological deformation of the ergosphere making it a two-sheet surface, and for some of its values forbids the Penrose process.

Citations