Algebraic computing and the Newman-Penrose formalism in general relativity

Statistics – Applications

Scientific paper

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Computer Programming, Mathematical Models, Relativity, Space-Time Functions, Algebra, Algorithms, Computer Programs, Tensors, Tetrad Theory

Scientific paper

The curvature tensor of space-time can be described most concisely by giving the components of the Weyl and Ricci tensors relative to a complex null tetrad. The Newman-Penrose equations provide a simple and direct algorithm for calculating these components. This paper describes a computer program, written in the symbolic manipulation language CAMAL, which performs this calculation. Comparisons are made with the classical tensorial method of calculation, and some applications are discussed.

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