Null-Killing Vector Dimensional Reduction and Galilean Geometrodynamics

  title={Null-Killing Vector Dimensional Reduction and Galilean Geometrodynamics},
  author={Hermann Nicolai},
The solutions of Einstein's equations admitting one non-null Killing vector field are best studied with the projection formalism of Geroch. When the Killing vector is lightlike, the projection onto the orbit space still exists and one expects a covariant theory with degenerate contravariant metric to appear, its geometry is presented here. Despite the complications of inde-composable representations of the local Euclidean subgroup, one obtains an absolute time and a canonical, Galilean and so… CONTINUE READING
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