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 32 articles , 1 standard article )

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  1. Arvanitakis, Alex S.; Blair, Chris D.A.: Black hole thermodynamics, stringy dualities and double field theory (2017)
  2. Kulyabov, D.S.: Using two types of computer algebra systems to solve Maxwell optics problems (2016)
  3. Lessa, Pablo: Reeb stability and the Gromov-Hausdorff limits of leaves in compact foliations (2015)
  4. Christensen, Morten H.; Hartong, Jelle; Obers, Niels A.; Rollier, Blaise: Boundary stress-energy tensor and Newton-Cartan geometry in Lifshitz holography (2014)
  5. Katmadas, Stefanos; Minasian, Ruben: $ \mathcalN = 2$ higher-derivative couplings from strings (2014)
  6. Nutma, Teake: \itxTras: a field-theory inspired \itxAct package for Mathematica (2014)
  7. Squire, J.; Burby, J.; Qin, H.: VEST: Abstract vector calculus simplification in Mathematica (2014)
  8. D.A. Bolotin, S.V. Poslavsky: Introduction to Redberry: a computer algebra system designed for tensor manipulation (2013) arXiv
  9. Korol’kova, A.V.; Kulyabov, D.S.; Sevast’yanov, L.A.: Tensor computations in computer algebra systems (2013)
  10. Lazaroiu, Calin-Iuliu; Babalic, Elena-Mirela: Geometric algebra techniques in flux compactifications. II (2013)
  11. Liu, James T.; Minasian, Ruben: Higher-derivative couplings in string theory: dualities and the $B$ field (2013)
  12. Musaev, Edvard T.: Gauged supergravities in 5 and 6 dimensions from generalised Scherk-Schwarz reductions (2013)
  13. Ortiz, Thomas; Samtleben, Henning: $\mathrmSO(9)$ supergravity in two dimensions (2013)
  14. Plewa, Grzegorz; Spalinski, Michal: Entropy currents from holography in hydrodynamics with charge (2013)
  15. Samtleben, Henning; Sezgin, Ergin; Tsimpis, Dimitrios: Rigid 6$D$ supersymmetry and localization (2013)
  16. Chemissany, Wissam; Geissbühler, David; Hartong, Jelle; Rollier, Blaise: Holographic renormalization for $z = 2$ Lifshitz spacetimes from AdS (2012)
  17. Gómez-Lobo, Alfonso García-Parrado; Martín-García, José M.: \itSpinors: a Mathematica package for doing spinor calculus in general relativity (2012)
  18. Hassanain, Babiker; Schvellinger, Martin: Plasma conductivity at finite coupling (2012)
  19. Izaurieta, Fernando; Rodríguez, Eduardo: On eleven-dimensional supergravity and Chern-Simons theory (2012)
  20. Tanahashi, Norihiro; Murata, Keiju: Instability in near-horizon geometries of even-dimensional Myers-Perry black holes (2012)

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