Review of some classical gravitational superenergy tensors using computational techniques
X. Jaen (1), A. Balfagon (2) ((1)Universitat Politecnica de, Catalunya, Laboratori de Fisica Matematica, Societat Catalana de, Fisica(I.E.C.), (2)Institut Quimic de Sarria (Universitat Ramon, Llull),Laboratori de Fisica Matematica, Societat Catalana de Fisica(I.E.C.))
TL;DR
This paper employs computational algorithms within a Mathematica package to analyze classical gravitational superenergy tensors, revealing new results and refining existing knowledge in general relativity.
Contribution
It introduces computational techniques for studying divergence-free quadratic Riemann tensor polynomials, providing new insights and corrections to known results.
Findings
Identification of new properties of superenergy tensors
Reproduction and correction of known results in gravitational tensor analysis
Development of computational tools for tensor calculus in GR
Abstract
We use computational algorithms recently developed by us to study completely four index divergence free quadratic in Riemann tensor polynomials in GR. Some results are new and some other reproduce and/or correct known ones. The algorithms are part of a Mathematica package called Tools of Tensor Calculus (TTC)[web address: http://baldufa.upc.es/ttc]
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