Lie Symmetries of Einstein's Vacuum Equations in N Dimensions

@article{Marchildon1998LieSO,
  title={Lie Symmetries of Einstein's Vacuum Equations in N Dimensions},
  author={Louis Marchildon},
  journal={Journal of Nonlinear Mathematical Physics},
  year={1998},
  volume={5},
  pages={68-81}
}
  • L. Marchildon
  • Published 20 January 1997
  • Physics, Mathematics
  • Journal of Nonlinear Mathematical Physics
Abstract We investigate Lie symmetries of Einstein’s vacuum equations in N dimensions, with a cosmological term. For this purpose, we first write down the second prolongation of the symmetry generating vector fields, and compute its action on Einstein’s equations. Instead of setting to zero the coefficients of all independent partial derivatives (which involves a very complicated substitution of Einstein’s equations), we set to zero the coefficients of derivatives that do not appear in Einstein… 
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