Rainich theory applied to m-rank tensors in n-dimensions

2007/09/07 by Alberto C. Balfagón, Alberto C. Balfagon, Balfagon, Alberto C. · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computational Physics and Python Applications #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Tensor decomposition and applications #gr-qc

paper · pdf · doi:10.48550/arxiv.0709.1041

7 pages, submitted to GRG

arxiv created 2007/09/07 · openalex publication_date 2007/09/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show a tensorial-computational way to find out conditions that must fulfil an m-rank tensor in arbitrary dimension in order to be algebraically the energy-momentum tensor of some field. We apply in this paper our method to three 2-rank tensors: electromagnetic, mass less scalar field and perfect fluid tensors. Finally we apply the Rainich theory to some examples.

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