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 74 articles , 1 standard article )

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  1. Arvanitakis, Alex S.: Chiral strings, topological branes, and a generalised Weyl-invariance (2019)
  2. Birkandan, Tolga; Güzelgün, Ceren; Şirin, Elif; Uslu, Mustafa Can: Symbolic and numerical analysis in general relativity with open source computer algebra systems (2019)
  3. Butter, Daniel; Novak, Joseph; Ozkan, Mehmet; Pang, Yi; Tartaglino-Mazzucchelli, Gabriele: Curvature squared invariants in six-dimensional $ \mathcalN=(1,0)$ supergravity (2019)
  4. Butter, Daniel; Samtleben, Henning; Sezgin, Ergin: (E_7(7)) exceptional field theory in superspace (2019)
  5. Chabrol, Lilian: Geometry of (\mathbbR^+ \timesE_3(3)) exceptional field theory and F-theory (2019)
  6. Cho, Kyoungho; Morand, Kevin; Park, Jeong-Hyuck: Kaluza-Klein reduction on a maximally non-Riemannian space is moduli-free (2019)
  7. Coimbra, André; Minasian, Ruben: M-theoretic Lichnerowicz formula and supersymmetry (2019)
  8. Iochum, B.; Masson, T.: Heat coefficient (a_4) for non minimal Laplace type operators (2019)
  9. Ozdemir, Nese; Ozkan, Mehmet; Tunca, Orhan; Zorba, Utku: Three-dimensional extended Newtonian (super)gravity (2019)
  10. Ozdemir, Nese; Ozkan, Mehmet; Zorba, Utku: Three-dimensional extended Lifshitz, Schrödinger and Newton-Hooke supergravity (2019)
  11. Veronelli, Giona: Boundary structure of convex sets in the hyperbolic space (2019)
  12. Castillo-Felisola, Oscar; Skirzewski, Aureliano: Einstein’s gravity from a polynomial affine model (2018)
  13. Chakrabarti, Subhroneel; Kashyap, Sitender Pratap; Verma, Mritunjay: Amplitudes involving massive states using pure spinor formalism (2018)
  14. Galán-García, José L.; Aguilera-Venegas, Gabriel; Galán-García, María Á.; Rodríguez-Cielos, Pedro; Atencia-Mc. Killop, Iván: Improving CAS capabilities: new rules for computing improper integrals (2018)
  15. Jacobson, Ted; Senovilla, José M. M.; Speranza, Antony J.: Area deficits and the Bel-Robinson tensor (2018)
  16. Mali, Mahendra; Shankaranarayanan, S.: Higher derivative quartic vertex of (f(R)) gravity in light-cone gauge (2018)
  17. Pennec, Xavier: Barycentric subspace analysis on manifolds (2018)
  18. Rodríguez Díaz, Lázaro O.: (G_2) holonomy manifolds are superconformal (2018)
  19. Veronelli, Giona: Scalar curvature via local extent (2018)
  20. Arvanitakis, Alex S.; Blair, Chris D. A.: Black hole thermodynamics, stringy dualities and double field theory (2017)

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