Cadabra

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


References in zbMATH (referenced in 83 articles , 1 standard article )

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  1. Alonso-Serrano, A.; Liška, M.: Quantum phenomenological gravitational dynamics: a general view from thermodynamics of spacetime (2020)
  2. Aros, R.; Bugini, F.; Diaz, D. E.: One-loop divergences in 7D Einstein and 6D conformal gravities (2020)
  3. Banerjee, Shamik; Pandey, Pranjal: Conformal properties of soft operators. II: Use of null-states (2020)
  4. Butter, Daniel; Ciceri, Franz; Sahoo, Bindusar: (\mathcalN= 4) conformal supergravity: the complete actions (2020)
  5. Markus B. Fröb: FieldsX - An extension package for the xAct tensor computer algebra suite to include fermions, gauge fields and BRST cohomology (2020) arXiv
  6. Arvanitakis, Alex S.: Chiral strings, topological branes, and a generalised Weyl-invariance (2019)
  7. Birkandan, Tolga; Güzelgün, Ceren; Şirin, Elif; Uslu, Mustafa Can: Symbolic and numerical analysis in general relativity with open source computer algebra systems (2019)
  8. Butter, Daniel; Novak, Joseph; Ozkan, Mehmet; Pang, Yi; Tartaglino-Mazzucchelli, Gabriele: Curvature squared invariants in six-dimensional $ \mathcalN=(1,0)$ supergravity (2019)
  9. Butter, Daniel; Samtleben, Henning; Sezgin, Ergin: (E_7(7)) exceptional field theory in superspace (2019)
  10. Chabrol, Lilian: Geometry of (\mathbbR^+ \timesE_3(3)) exceptional field theory and F-theory (2019)
  11. Cho, Kyoungho; Morand, Kevin; Park, Jeong-Hyuck: Kaluza-Klein reduction on a maximally non-Riemannian space is moduli-free (2019)
  12. Coimbra, André; Minasian, Ruben: M-theoretic Lichnerowicz formula and supersymmetry (2019)
  13. García-Parrado, Alfonso; Khavkine, Igor: Conformal Killing initial data (2019)
  14. Gubser, Steven S.; Jepsen, Christian B.; Ji, Ziming; Trundy, Brian; Yarom, Amos: Non-local non-linear sigma models (2019)
  15. Iochum, B.; Masson, T.: Heat coefficient (a_4) for non minimal Laplace type operators (2019)
  16. Kulyabov, D. S.; Korol’kova, A. V.; Sevast’yanov, L. A.: New features in the second version of the Cadabra computer algebra system (2019)
  17. Ozdemir, Nese; Ozkan, Mehmet; Tunca, Orhan; Zorba, Utku: Three-dimensional extended Newtonian (super)gravity (2019)
  18. Ozdemir, Nese; Ozkan, Mehmet; Zorba, Utku: Three-dimensional extended Lifshitz, Schrödinger and Newton-Hooke supergravity (2019)
  19. Shpiz, G.; Kryukov, A.: Canonical representation of polynomial expressions with indices (2019)
  20. Veronelli, Giona: Boundary structure of convex sets in the hyperbolic space (2019)

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Further publications can be found at: https://cadabra.science/papers.html