A Class of Conserved Tensors in an Arbitrary Gravitational Field

@inproceedings{Collinson1962ACO,
  title={A Class of Conserved Tensors in an Arbitrary Gravitational Field},
  author={Charles Collinson},
  year={1962}
}
Four-index tensors with all possible terms either ( a ) quadratic in the Riemann curvature tensor, or ( b ) linear in its second derivatives, with coefficients constructed from products of metric tensors, are enumerated for the case of Riemannian space-time. All linear combinations of these which have zero divergence, and which might therefore be associated with the super-energy in gravitational theory, are found by elementary methods. The only independent such combination reduces in empty… CONTINUE READING

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