The newest release of the Ortocartan set of programs for algebraic calculations in relativity

Authors
Citation
A. Krasinski, The newest release of the Ortocartan set of programs for algebraic calculations in relativity, GEN RELAT G, 33(1), 2001, pp. 145-161
Citations number
7
Categorie Soggetti
Physics
Journal title
GENERAL RELATIVITY AND GRAVITATION
ISSN journal
00017701 → ACNP
Volume
33
Issue
1
Year of publication
2001
Pages
145 - 161
Database
ISI
SICI code
0001-7701(200101)33:1<145:TNROTO>2.0.ZU;2-T
Abstract
The program Ortocartan for algebraic calculations in relativity has just be en implemented in the Codemist Standard Lisp and can now be used under the Windows 98 and Linux operating systems. The paper describes the new facilit ies and subprograms that have been implemented since the previous release i n 1992. These are: the possibility to write the output as Latex input code and as Ortocartan's input code, the calculation of the Ellis evolution equa tions for the kinematic tensors of how, the calculation of the curvature te nsors from given (torsion-free) connection coefficients in a manifold of ar bitrary dimension, the calculation of the Lagrangian from a given metric by the Landao-Lifshitz method, the calculation of the Euler-Lagrange equation s from a given lagrangian (only for sets of ordinary differential equations ) and the calculation of first integrals of sets of ordinary differential e quations of second order (the first integrals are assumed to be polynomials of second degree in the first derivatives of the functions).