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A New Algorithm for the Segre Classification of the Trace-Free Ricci Tensor

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Abstract

A new algorithm, based on the introduction of new spinor quantities, for the Segre classification of the trace-free Ricci tensor is presented. It is capable of automatically distinguishing between the two Segre types [1,1(11)] and [(1,1)11] where all other known algorithms fail to do so.

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Authors and Affiliations

  1. Mathematics and Computational Theory Group, School of Information Technology, Deakin University, Waurn Ponds, Victoria, 3217, Australia

    E. Zakhary & J. Carminati

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  1. E. Zakhary
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  2. J. Carminati
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Zakhary, E., Carminati, J. A New Algorithm for the Segre Classification of the Trace-Free Ricci Tensor. General Relativity and Gravitation 36, 1015–1038 (2004). https://doi.org/10.1023/B:GERG.0000018087.58885.57

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  • DOI: https://doi.org/10.1023/B:GERG.0000018087.58885.57

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