Papers › Cadabra and Python algorithms in General Relativity and Cosmology I: Generalities

Cadabra and Python algorithms in General Relativity and Cosmology I: Generalities

30 Sep 2022arXiv:2210.00005links table onlyarchive 2025-07-28

Oscar Castillo-Felisola, Dominic T. Price, Mattia Scomparin

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The aim of this work is to present a series of concrete examples which illustrate how the computer algebra system Cadabra can be used to manipulate expressions appearing in General Relativity and other gravitational theories. We highlight the way in which Cadabra's philosophy differs from other systems with related functionality. The use of various new built-in packages is discussed, and we show how such packages can also be created by end-users directly using the notebook interface. The current paper focuses on fairly generic applications in gravitational theories, including the use of differential forms, the derivation of field equations and the construction of their solutions. A follow-up paper discusses more specific applications related to the analysis of gravitational waves.

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