Invariants of the Riemann tensor: A classical approach |
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Authors: | S. T. C. Siklos |
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Affiliation: | (1) Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Science, University of Cambridge, Cambridge, CB3 0WA, UK |
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Abstract: | This paper describes the start of an investigation into the application of classical invariant theory to scalar polynomial invariants of the Riemann tensor. In particular, the classical methods of enumerating invariants are discussed with the aim, not achieved in this paper, of verifying Sneddon's result, obtained by explicit calculation of the invariants that the dimension of a Hilbert basis is 38. |
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Keywords: | General Relativity Riemann tensor Polynomial invariants |
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