Charging axisymmetric space-times with cosmological constant

2012/05/31 by Marco Astorino · 2 citations
Physics and Astronomy · Mathematics · #gr-qc #hep-th #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1007/jhep06(2012)086

published as JHEP 06 (2012) 086 · 15 pages, v2: typos corrected

arxiv created 2012/07/31 · arxiv updated 2012/08/02

Abstract

Ernst's solution generating technique for adding electromagnetic charge to axisymmetric space-times in general relativity is generalised in presence of the cosmological constant. Ernst equations for complex potentials are found and they are traced back to an affective dual complex dynamical system, whose symmetries are studied. In particular this method is able to generate charged, asymptotically (A)dS black holes from their uncharged version: as an example, it is shown explicitly how to pass from the Kerr-(A)dS to the Kerr-Newman-(A)dS metric. A new solution describing a magnetic universe in presence of the cosmological constant is also generated.

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