The Invar Tensor Package. The Invar package is introduced, a fast manipulator of generic scalar polynomial expressions formed from the Riemann tensor of a four-dimensional metric-compatible connection. The package can maximally simplify any polynomial containing tensor products of up to seven Riemann tensors within seconds. It has been implemented both in Mathematica and Maple algebraic systems (Source:

References in zbMATH (referenced in 35 articles , 1 standard article )

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  1. de Brito, Gustavo P.; Eichhorn, Astrid; Schiffer, Marc: Light charged fermions in quantum gravity (2021)
  2. Eichhorn, Astrid; Held, Aaron: From a locality-principle for new physics to image features of regular spinning black holes with disks (2021)
  3. Liu, Jiang; Ni, Feng: Distance invariant method for normalization of indexed differentials (2021)
  4. Draper, Tom; Knorr, Benjamin; Ripken, Chris; Saueressig, Frank: Graviton-mediated scattering amplitudes from the quantum effective action (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. Ruhdorfer, Maximilian; Serra, Javi; Weiler, Andreas: Effective field theory of gravity to all orders (2020)
  7. Villani, Mattia: Quasi-normal mode of a regular Schwarzschild black hole (2020)
  8. Weissenbacher, Matthias: F-theory vacua and (\alpha’)-corrections (2020)
  9. Emond, William T.; Moynihan, Nathan: Scattering amplitudes, black holes and leading singularities in cubic theories of gravity (2019)
  10. Knorr, Benjamin: Lorentz symmetry is relevant (2019)
  11. Knorr, Benjamin; Ripken, Chris; Saueressig, Frank: Form factors in asymptotic safety: conceptual ideas and computational toolbox (2019)
  12. Shpiz, G.; Kryukov, A.: Canonical representation of polynomial expressions with indices (2019)
  13. Grimm, Thomas W.; Mayer, Kilian; Weissenbacher, Matthias: Higher derivatives in type II and M-theory on Calabi-Yau threefolds (2018)
  14. Grimm, Thomas W.; Mayer, Kilian; Weissenbacher, Matthias: One-modulus Calabi-Yau fourfold reductions with higher-derivative terms (2018)
  15. Knorr, Benjamin: Infinite order quantum-gravitational correlations (2018)
  16. Liu, Jiang: Normalization in Riemann tensor polynomial ring (2018)
  17. Saffer, Alexander; Yunes, Nicolás; Yagi, Kent: The gravitational wave stress-energy (pseudo)-tensor in modified gravity (2018)
  18. Endlich, Solomon; Gorbenko, Victor; Huang, Junwu; Senatore, Leonardo: An effective formalism for testing extensions to general relativity with gravitational waves (2017)
  19. Liu, Jiang: Normalization of indexed differentials based on function distance invariants (2017)
  20. McNees, Robert; Stein, Leo C.; Yunes, Nicolás: Extremal black holes in dynamical Chern-Simons gravity (2016)

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