xTensor: Fast abstract tensor computer algebra. xTensor extends Mathematica capabilities in abstract tensor calculus, specially in General Relativity. It works with tensors with arbitrary symmetries under permutations of indices, defined on several different manifolds and products of them. It computes covariant derivatives, Lie derivatives and parametric derivatives. It allows the presence of a metric in each manifold and defines all the associated tensors (Riemann, Ricci, Einstein, Weyl, etc.) xTensor does not perform component calculations. Use the companion package xCoba. xTensor needs the package xPerm in order to compute the canonical form of a list of indices under permutation symmetry groups.

References in zbMATH (referenced in 33 articles , 1 standard article )

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  1. Eichhorn, Astrid; Held, Aaron: From a locality-principle for new physics to image features of regular spinning black holes with disks (2021)
  2. Liu, Jiang; Ni, Feng: Distance invariant method for normalization of indexed differentials (2021)
  3. Draper, Tom; Knorr, Benjamin; Ripken, Chris; Saueressig, Frank: Graviton-mediated scattering amplitudes from the quantum effective action (2020)
  4. Ruhdorfer, Maximilian; Serra, Javi; Weiler, Andreas: Effective field theory of gravity to all orders (2020)
  5. Villani, Mattia: Quasi-normal mode of a regular Schwarzschild black hole (2020)
  6. Weissenbacher, Matthias: F-theory vacua and (\alpha’)-corrections (2020)
  7. Emond, William T.; Moynihan, Nathan: Scattering amplitudes, black holes and leading singularities in cubic theories of gravity (2019)
  8. Knorr, Benjamin: Lorentz symmetry is relevant (2019)
  9. Knorr, Benjamin; Ripken, Chris; Saueressig, Frank: Form factors in asymptotic safety: conceptual ideas and computational toolbox (2019)
  10. Shpiz, G.; Kryukov, A.: Canonical representation of polynomial expressions with indices (2019)
  11. Grimm, Thomas W.; Mayer, Kilian; Weissenbacher, Matthias: One-modulus Calabi-Yau fourfold reductions with higher-derivative terms (2018)
  12. Grimm, Thomas W.; Mayer, Kilian; Weissenbacher, Matthias: Higher derivatives in type II and M-theory on Calabi-Yau threefolds (2018)
  13. Knorr, Benjamin: Infinite order quantum-gravitational correlations (2018)
  14. Liu, Jiang: Normalization in Riemann tensor polynomial ring (2018)
  15. Saffer, Alexander; Yunes, Nicolás; Yagi, Kent: The gravitational wave stress-energy (pseudo)-tensor in modified gravity (2018)
  16. Endlich, Solomon; Gorbenko, Victor; Huang, Junwu; Senatore, Leonardo: An effective formalism for testing extensions to general relativity with gravitational waves (2017)
  17. Michele Levi, Jan Steinhoff: EFTofPNG: A package for high precision computation with the Effective Field Theory of Post-Newtonian Gravity (2017) arXiv
  18. Sikhonde, Muzikayise E.; Dunsby, Peter K. S.: Reviving the shear-free perfect fluid conjecture in general relativity (2017)
  19. Álvarez, Enrique; González-Martín, Sergio; Herrero-Valea, Mario; Martın, Carmelo P.: Quantum corrections to unimodular gravity (2015)
  20. Eager, Richard; Schmude, Johannes: Superconformal indices and M2-branes (2015)

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