Review of some classical gravitational superenergy tensors using computational techniques

A. Balfagon; X. Jaen

doi:10.48550/arXiv.gr-qc/9912060

Review of some classical gravitational superenergy tensors using computational techniques

A. Balfagon
, X. Jaen

Research output: Indexed journal article › Article › peer-review

15 Citations (Scopus)

Abstract

We use computational algorithms recently developed by ourselves to study completely four index divergence-free quadratic in Riemann tensor polynomials in GR. Some results are new and others reproduce and/or correct known ones. The algorithms are part of a Mathematica package called Tools of Tensor Calculus (TTC).

Original language	English
Pages (from-to)	2491-2497
Number of pages	7
Journal	Classical and Quantum Gravity
Volume	17
Issue number	13
DOIs	https://doi.org/10.48550/arXiv.gr-qc/9912060 https://doi.org/10.1088/0264-9381/17/13/302
Publication status	Published - Jun 2000

Keywords

Simplification

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title = "Review of some classical gravitational superenergy tensors using computational techniques",

abstract = "We use computational algorithms recently developed by ourselves to study completely four index divergence-free quadratic in Riemann tensor polynomials in GR. Some results are new and others reproduce and/or correct known ones. The algorithms are part of a Mathematica package called Tools of Tensor Calculus (TTC).",

keywords = "Simplification",

author = "A. Balfagon and X. Jaen",

note = "We want to kindly thank J.M.M. Senovilla to direct our work on superenergy tensors. X.J. would like to thank the Comisi{\'o}n Asesora de Investigaci{\'o}n Cient{\'i}fica y T{\'e}cnica for partial financial support, under Contract No.PB96-0384. The authors would also like to thank the Laboratori de F{\'i}sica Matem{\`a}tica at the Societat Catalana de F{\'i}sica for partial financial support.",

year = "2000",

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language = "English",

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AU - Balfagon, A.

AU - Jaen, X.

N1 - We want to kindly thank J.M.M. Senovilla to direct our work on superenergy tensors. X.J. would like to thank the Comisión Asesora de Investigación Científica y Técnica for partial financial support, under Contract No.PB96-0384. The authors would also like to thank the Laboratori de Física Matemàtica at the Societat Catalana de Física for partial financial support.

PY - 2000/6

Y1 - 2000/6

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AB - We use computational algorithms recently developed by ourselves to study completely four index divergence-free quadratic in Riemann tensor polynomials in GR. Some results are new and others reproduce and/or correct known ones. The algorithms are part of a Mathematica package called Tools of Tensor Calculus (TTC).

KW - Simplification

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JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 13

ER -

Review of some classical gravitational superenergy tensors using computational techniques

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