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gr-qcJan 20, 2007
26
citations (OpenAlex)
authors
  • F. J. Ernst
  • V. S. Manko
  • E. Ruiz
institutions
  • Centro de Investigación en Materiales Avanzados
  • FJE Enterprises (United States)
  • Universidad de Salamanca
arXiv abstractPDF
paper

Equatorial symmetry/antisymmetry of stationary axisymmetric electrovac spacetimes

arXiv:gr-qc/0701112 · doi:10.1088/0264-9381/23/15/013

Abstract

Two theorems are proved concerning how stationary axisymmetric electrovac spacetimes that are equatorially symmetric or equatorially antisymmetric can be characterized correctly in terms of the Ernst potentials $\E$ and Φ or in terms of axis-data.

8 pages

Cited by in corpus (10)

  • Analogs of the double-Reissner-Nordstrom solution in magnetostatics and dilaton gravity: mathematical description and some physical properties
  • Calculation of multipole moments of axistationary electrovacuum spacetimes
  • Exact solution for the simplest binary system of Kerr black holes
  • Possible connection between the reflection symmetry and existence of equatorial circular orbit
  • Equatorial symmetry/antisymmetry of stationary axisymmetric electrovac spacetimes. II
  • Generalized black diholes
  • On the properties of the Ernst-Manko-Ruiz equatorially antisymmetric solutions
  • The relations between the multipole moments in axistationary electrovacuum spacetimes and the N-soliton solution
  • Multipole moments of a charged rotating disc of dust in general relativity
  • On a static charged fluid around a magnetized mass
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