Algebraic computing in torsion theories of gravitation.

DOI10.1016/S0378-4754(96)00047-XzbMath1037.83500OpenAlexW2084514394MaRDI QIDQ1565863

Joel B. Fonseca-Neto, M. J. Rebouças, Malcolm A. H. MacCallum

Publication date: 27 May 2003

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(96)00047-x

zbMATH Keywords

torsion theoriescomputer algebragravitationequivalence problem

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Software, source code, etc. for problems pertaining to relativity and gravitational theory (83-04)

Related Items

THE EQUIVALENCE PROBLEM IN TELEPARALLEL GRAVITY ⋮ A frame based approach to computing symmetries with non-trivial isotropy groups ⋮ Symmetry and equivalence in teleparallel gravity ⋮ On a class of Riemann-Cartan space-times of Gödel type. ⋮ Algebraic computing in torsion theories of gravitation.

Uses Software

• SHEEP

Cites Work

• Exterior calculus on the computer: The REDUCE-package EXCALC applied to general relativity and to the Poincaré gauge theory
• A Newman-Penrose-type formalism for space-times with torsion
• A review of the geometrical equivalence of metrics in general relativity
• Algebraic computing in torsion theories of gravitation.
• Quadratic Poincaré gauge theory of gravity: A comparison with the general relativity theory
• Computer-aided classification of the Ricci tensor in general relativity
• Algebraically independent nth derivatives of the Riemannian curvature spinor in a general spacetime
• The equivalence problem in torsion theories of gravitation
• General relativity with spin and torsion: Foundations and prospects
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