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 59 articles , 1 standard article )

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  1. Birkandan, Tolga; Güzelgün, Ceren; Şirin, Elif; Uslu, Mustafa Can: Symbolic and numerical analysis in general relativity with open source computer algebra systems (2019)
  2. Castillo-Felisola, Oscar; Skirzewski, Aureliano: Einstein’s gravity from a polynomial affine model (2018)
  3. Chakrabarti, Subhroneel; Kashyap, Sitender Pratap; Verma, Mritunjay: Amplitudes involving massive states using pure spinor formalism (2018)
  4. Mali, Mahendra; Shankaranarayanan, S.: Higher derivative quartic vertex of $f(R)$ gravity in light-cone gauge (2018)
  5. Pennec, Xavier: Barycentric subspace analysis on manifolds (2018)
  6. Rodríguez Díaz, Lázaro O.: $G_2$ holonomy manifolds are superconformal (2018)
  7. Veronelli, Giona: Scalar curvature via local extent (2018)
  8. Arvanitakis, Alex S.; Blair, Chris D. A.: Black hole thermodynamics, stringy dualities and double field theory (2017)
  9. Baron, Walter H.; Fernández-Melgarejo, José J.; Marqués, Diego; Nuñez, Carmen A.: The odd story of $\alpha$’-corrections (2017)
  10. Bojowald, Martin; Brahma, Suddhasattwa; Büyükçam, Umut; Strobl, Thomas: Monopole star products are non-alternative (2017)
  11. Bugini, F.; Diaz, D. E.: Simple recipe for holographic Weyl anomaly (2017)
  12. Butter, Daniel; Novak, Joseph; Tartaglino-Mazzucchelli, Gabriele: The component structure of conformal supergravity invariants in six dimensions (2017)
  13. Cabo-Bizet, Alejandro: Factorising the 3D topologically twisted index (2017)
  14. Chakrabarti, Subhroneel; Kashyap, Sitender Pratap; Sahoo, Biswajit; Sen, Ashoke; Verma, Mritunjay: Subleading soft theorem for multiple soft gravitons (2017)
  15. Lescano, Eric; Marqués, Diego: Second order higher-derivative corrections in double field theory (2017)
  16. Miolane, Nina; Holmes, Susan; Pennec, Xavier: Template shape estimation: correcting an asymptotic bias (2017)
  17. Basak, Abhishek; Fabre, Ophélia; Shankaranarayanan, S.: Cosmological perturbations of unimodular gravity and general relativity are identical (2016)
  18. Kulyabov, D. S.: Using two types of computer algebra systems to solve Maxwell optics problems (2016)
  19. Cho, Wonyoung; Fernández-Melgarejo, J. J.; Jeon, Imtak; Park, Jeong-Hyuck: Supersymmetric gauged double field theory: systematic derivation by virtue of twist (2015)
  20. Ghodsi, Ahmad; Khavari, Behnoush; Naseh, Ali: Holographic two-point functions in conformal gravity (2015)

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