Spacetime Ehlers group: transformation law for the Weyl tensor

  title={Spacetime Ehlers group: transformation law for the Weyl tensor},
  author={Marc Mars},
  journal={Classical and Quantum Gravity},
  • M. Mars
  • Published 5 January 2001
  • Mathematics
  • Classical and Quantum Gravity
The spacetime Ehlers group, which is a symmetry of the Einstein vacuum field equations for strictly stationary spacetimes, is defined and analysed in a purely spacetime context (without invoking the projection formalism). In this setting, the Ehlers group finds its natural description within an infinite-dimensional group of transformations that maps Lorentz metrics into Lorentz metrics and which may be of independent interest. The Ehlers group is shown to be well defined independently of the… 
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