Communications in Mathematical Physics

, Volume 17, Issue 3, pp 233–238 | Cite as

The commutation property of a stationary, axisymmetric system

  • Brandon Carter


It is shown that in studies of space-time systems which are both stationary and axisymmetric, no generality is lost by considering only cases where the stationary and axisymmetric actions (or equivalently the two corresponding Killing vector fields) commute.


Neural Network Statistical Physic Complex System Vector Field Nonlinear Dynamics 
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  1. 1.
    Papapetrou, A.: Ann. Inst. Poincaré4, 83 (1966).Google Scholar
  2. 2.
    Carter, B.: J. Math. Phys.10, 70 (1969).Google Scholar
  3. 3.
    Newman, E., Tamborino, L., Unti, T.: J. Math. Phys.4, 915 (1963).Google Scholar

Copyright information

© Springer-Verlag 1970

Authors and Affiliations

  • Brandon Carter
    • 1
  1. 1.Institute of Theoretical AstronomyCambridgeEngland

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