Cadabra swMATH ID: 97 Software Authors: Kasper Peeters; Brewin, Leo Description: Cadabra is a powerful computer program for the manipulation of tensor equations. It is designed for use in high energy physics but its rich structure and ease of use lends itself well to the routine computations required in general relativity. Here, we present a series of simple examples showing how Cadabra may be used, including verifying that the Levi-Civita connection is a metric connection and a derivation of the Gauss equation between induced and ambient curvatures Homepage: http://cadabra.phi-sci.com/ Keywords: CAS; field theory; tensor polynomial simplification; Clifford algebras; Fierz transformations Related Software: xPerm; Mathematica; xAct; Invar; MathTensor; xTensor; Spinors; Maple; Redberry; Maxima; xPand; xPert; Ricci; ATENSOR; xCore; FORM; GAP; xTras; Tensorial; GRTensorII Cited in: 91 Publications Further Publications: https://cadabra.science/papers.html Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year A brief introduction to Cadabra: a tool for tensor computations in general relativity. Zbl 1206.83007Brewin, Leo 2010 all top 5 Cited by 156 Authors 7 Samtleben, Henning 5 Butter, Daniel 3 Bugini, F. 3 Chakrabarti, Subhroneel 3 Díaz, D. E. 3 Kulyabov, Dmitry S. 3 Marques, Diego 3 Minasian, Ruben 3 Musaev, Edvard T. 3 Ozkan, Mehmet 3 Park, Jeong-Hyuck 3 Schvellinger, Martin 3 Shankaranarayanan, S. 2 Aros, Rodrigo 2 Arvanitakis, Alex S. 2 Băbălîc, Elena-Mirela 2 Brewin, Leo C. 2 Fernández-Melgarejo, Jose J. 2 García-Parrado Gómez-Lobo, Alfonso 2 Hartong, Jelle 2 Hassanain, Babiker 2 Jeon, Imtak 2 Kashyap, Sitender Pratap 2 Korolkova, Anna V. 2 Lazaroiu, Calin Iuliu 2 Novak, Joseph A. 2 Núñez, Carmen A. 2 Özdemir, Neşe 2 Pennec, Xavier 2 Rollier, Blaise 2 Sevast’yanov, Leonid Antonovich 2 Sezgin, Ergin 2 Tartaglino-Mazzucchelli, Gabriele 2 Thompson, Daniel C. 2 Verma, Mritunjay 2 Veronelli, Giona 2 Zorba, Utku 1 Aguilera-Venegas, Gabriel 1 Alonso-Serrano, Ana 1 Atencia-Mc. Killop, Iván 1 Baguet, Arnaud 1 Banerjee, Shamik 1 Baron, Walter H. 1 Bartolo, Nicola 1 Basak, Abhishek 1 Benedetti, Dario 1 Bergshoeff, Eric A. 1 Berman, David S. 1 Birkandan, Tolga 1 Blair, Chris D. A. 1 Bojowald, Martin 1 Brahma, Suddhasattwa 1 Burby, Joshua W. 1 Büyükçam, Umut 1 Cabo-Bizet, Alejandro 1 Castillo-Felisola, Oscar 1 Cembranos, Jose A. R. 1 Chabrol, Lilian 1 Chemissany, Wissam A. 1 Cho, Kyoungho 1 Cho, Wonyoung 1 Christensen, Morten H. 1 Ciceri, Franz 1 Coimbra, André 1 Coman, Ioana Alexandra 1 Dall’Agata, Gianguido 1 Deger, Nihat Sadik 1 Fabre, Ophélia 1 Gaillard, Jérôme 1 Galán-García, José Luis 1 Galán-García, María-Ángeles 1 Geissbühler, David 1 Ghodsi, Ahmad 1 Große, Johannes 1 Gubser, Steven S. 1 Güzelgün, Ceren 1 Holmes, Susan P. 1 Iochum, Bruno 1 Izaurieta, Fernando 1 Jacobson, Ted 1 Jepsen, Christian Baadsgaard 1 Ji, Ziming 1 Karmakar, Purnendu 1 Katmadas, Stefanos 1 Kharuk, Ivan V. 1 Khavari, Behnoush 1 Khavkine, Igor 1 Koile, Ezequiel 1 Kovacevic, Marija 1 Kovensky, Nicolas 1 Krasil’shchik, Iosif Semënovich 1 Le Diffon, Arnaud 1 Lee, Kanghoon 1 Lescano, Eric 1 Lessa, Pablo 1 Liška, Marek 1 Liu, James T. 1 Mali, Mahendra 1 Manssur, L. R. U. 1 Maroto, Antonio L. ...and 56 more Authors all top 5 Cited in 24 Serials 46 Journal of High Energy Physics 8 Classical and Quantum Gravity 7 Computer Physics Communications 4 Nuclear Physics. B 4 Programming and Computer Software 3 Journal of Cosmology and Astroparticle Physics 2 General Relativity and Gravitation 1 International Journal of Modern Physics A 1 Communications in Mathematical Physics 1 Journal of Mathematical Physics 1 Physics Letters. B 1 Theoretical and Mathematical Physics 1 Journal of Geometry and Physics 1 Fortschritte der Physik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Statistics 1 Applied Mathematics and Computation 1 Monatshefte für Mathematik 1 The Asian Journal of Mathematics 1 Gravitation & Cosmology 1 SIAM Journal on Imaging Sciences 1 Advances in High Energy Physics 1 Analysis and Mathematical Physics 1 Analysis and Geometry in Metric Spaces all top 5 Cited in 25 Fields 64 Relativity and gravitational theory (83-XX) 51 Quantum theory (81-XX) 19 Differential geometry (53-XX) 8 Computer science (68-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Partial differential equations (35-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Mechanics of particles and systems (70-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Geometry (51-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Astronomy and astrophysics (85-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) Citations by Year