Comments on the performance of algebra systems in general relativity and a recent paper by Nielsen and Pedersen

Author:

MacCallum M. A.

Abstract

A recent paper by Nielsen and Pedersen [1] reported some calculations on a solution of the Einstein equations for a Euclidean four-dimensional space. A response was recently made by Schrüfer [2]. This further comment sets some of the remarks in a more general context and reports some curious test results of further comparisons.

Publisher

Association for Computing Machinery (ACM)

Reference5 articles.

1. A note on Einstein metrics—a simple application of a symbolic algebra system

2. Schrüfer E. "A comment on "A note on Einstein metrics" " GMD preprint Bonn (1988). Submitted to SIGSAM Bulletin 10.1145/49456.49459 Schrüfer E. "A comment on "A note on Einstein metrics" " GMD preprint Bonn (1988). Submitted to SIGSAM Bulletin 10.1145/49456.49459

3. Kramer D. Stephani H. MacCallum M. A. H. and Herlt E. Exact solutions of Einstein's field equations Deutscher Verlag der Wissenschaften Berlin and Cambridge University Press Cambridge (1980). (Russian translation: "Tochnie resheniya uravnenii Einshteina" 418 pp. translated by I. V. Mitskievich V. D. Zakharov and S. V. Rumyantsev and edited by Yu. S. Vladimirov Energoisdat Moscow 1982) Kramer D. Stephani H. MacCallum M. A. H. and Herlt E. Exact solutions of Einstein's field equations Deutscher Verlag der Wissenschaften Berlin and Cambridge University Press Cambridge (1980). (Russian translation: "Tochnie resheniya uravnenii Einshteina" 418 pp. translated by I. V. Mitskievich V. D. Zakharov and S. V. Rumyantsev and edited by Yu. S. Vladimirov Energoisdat Moscow 1982)

4. MacCallum M. A. H. "Algebraic computing in relativity " pp. 411--445 in Dynamical spacetimes and numerical relativity ed. J. M. Centrella Cambridge University Press Cambridge (1986). MacCallum M. A. H. "Algebraic computing in relativity " pp. 411--445 in Dynamical spacetimes and numerical relativity ed. J. M. Centrella Cambridge University Press Cambridge (1986).

5. Algebraic computing and the Newman-Penrose formalism in general relativity

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1. Computer algebra in gravity research;Living Reviews in Relativity;2018-08-20

2. Riemann - Cartan spacetimes of Gödel type;Classical and Quantum Gravity;1998-04-01

3. Algorithms for computer algebra calculations in spacetime: I. The calculation of curvature;Classical and Quantum Gravity;1996-08

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