Cadabra and Python algorithms in General Relativity and Cosmology II: Gravitational Waves

Computer Algebra Systems (CASs) like Cadabra Software play a prominent role in a wide range of research activities in physics and related fields. We show how Cadabra language is easily implemented in the well established Python programming framework, gaining excellent flexibility and customization t...

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Published in:arXiv.org
Main Authors: Castillo-Felisola, Oscar, Price, Dominic T, Scomparin, Mattia
Format: Paper
Language:English
Published: Ithaca Cornell University Library, arXiv.org 30.09.2022
Subjects:
Algorithms
Computer algebra
Cosmology
Gravitational waves
Perturbation
Programming languages
Python
Relativity
Tensors
ISSN:2331-8422
Online Access:Get full text
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Abstract Computer Algebra Systems (CASs) like Cadabra Software play a prominent role in a wide range of research activities in physics and related fields. We show how Cadabra language is easily implemented in the well established Python programming framework, gaining excellent flexibility and customization to address the issue of tensor perturbations in General Relativity. We obtain a performing algorithm to decompose tensorial quantities up to any perturbative order of the metric. The features of our code are tested by discussing some concrete computational issues in research activities related to first/higher-order gravitational waves.
AbstractList Computer Algebra Systems (CASs) like Cadabra Software play a prominent role in a wide range of research activities in physics and related fields. We show how Cadabra language is easily implemented in the well established Python programming framework, gaining excellent flexibility and customization to address the issue of tensor perturbations in General Relativity. We obtain a performing algorithm to decompose tensorial quantities up to any perturbative order of the metric. The features of our code are tested by discussing some concrete computational issues in research activities related to first/higher-order gravitational waves.
Author Castillo-Felisola, Oscar
Scomparin, Mattia
Price, Dominic T
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SubjectTerms Algorithms
Computer algebra
Cosmology
Gravitational waves
Perturbation
Programming languages
Python
Relativity
Tensors
Title Cadabra and Python algorithms in General Relativity and Cosmology II: Gravitational Waves
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