Computer algebra in gravity: Reduce-Excalc programs for (non-)Riemannian space-times. I

DOI10.1016/S0010-4655(98)00133-7zbMath1002.83500arXivgr-qc/9804068OpenAlexW1536503969WikidataQ115340639 ScholiaQ115340639MaRDI QIDQ1807991

José Socorro, Friedrich W. Hehl, Alfredo Macías

Publication date: 30 November 1999

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9804068

zbMATH Keywords

torsionelectrodynamicscomputer algebrageneral relativitynonmetricityPetrov type Dgauge theories of gravity

Mathematics Subject Classification ID

Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Software, source code, etc. for problems pertaining to relativity and gravitational theory (83-04)

Related Items (9)

The Kummer tensor density in electrodynamics and in gravity ⋮ Physical quantities of Reissner-Nordström spacetime with arbitrary function and regularized procedure ⋮ METRIC–AFFINE GAUGE THEORY OF GRAVITY II: EXACT SOLUTIONS ⋮ A class of colliding waves in metric-affine gravity, nonmetricity and torsion shock waves ⋮ Riemann-Cartan manifolds ⋮ The Einstein 3-form \(G_\alpha\) and its equivalent 1-form \(L_\alpha\) in Riemann-Cartan space ⋮ ROTATING BLACK HOLES IN METRIC-AFFINE GRAVITY ⋮ SYMBOLIC COMPUTATION OF BÄCKLUND TRANSFORMATION AND EXACT SOLUTIONS TO THE VARIANT BOUSSINESQ MODEL FOR WATER WAVES ⋮ Schwarzschild and Kerr solutions of Einstein's field equation: An Introduction

Uses Software

• REDUCE
• CARTAN
• Redten
• EXCALC
• EinS
• MathTensor

Cites Work

• Exterior calculus on the computer: The REDUCE-package EXCALC applied to general relativity and to the Poincaré gauge theory
• Rotating, charged, and uniformly accelerating mass in general relativity
• Exact static vacuum solution of four-dimensional metric-affine gravity with nontrivial torsion
• Solitonic monopole solution in metric-affine gauge theory carrying Weyl charges
• Maxwell's theory on a post-Riemannian spacetime and the equivalence principle
• Black holes with Weyl charge and non-Riemannian waves
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