xPert

xPert: Computer algebra for metric perturbation theory. We present the tensor computer algebra package xPert for fast construction and manipulation of the equations of metric perturbation theory, around arbitrary backgrounds. It is based on the combination of explicit combinatorial formulas for the nth order perturbation of curvature tensors and their gauge changes, and the use of highly efficient techniques of index canonicalization, provided by the underlying tensor system xAct, for Mathematica. We give examples of use and show the efficiency of the system with timings plots: it is possible to handle orders n=4 or n=5 within seconds, or reach n=10 with timings below 1 h.


References in zbMATH (referenced in 24 articles )

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  1. Panda, Sukanta; Tinwala, Abbas Altafhussain; Vidyarthi, Archit: Covariant effective action for generalized Proca theories (2022)
  2. Aashish, Sandeep; Panda, Sukanta; Tinwala, Abbas Altafhussain; Vidyarthi, Archit: Covariant effective action for scalar-tensor theories of gravity (2021)
  3. Bernardo, Reginald Christian: Self-tuning kinetic gravity braiding: cosmological dynamics, shift symmetry, and the tadpole (2021)
  4. de Giorgi, A.; Vogl, S.: Unitarity in KK-graviton production, a case study in warped extra-dimensions (2021)
  5. Steinwachs, Christian F.: Non-perturbative quantum Galileon in the exact renormalization group (2021)
  6. Umeh, Obinna; Koyama, Kazuya; Crittenden, Robert: Testing the equivalence principle on cosmological scales using the odd multipoles of galaxy cross-power spectrum and bispectrum (2021)
  7. Draper, Tom; Knorr, Benjamin; Ripken, Chris; Saueressig, Frank: Graviton-mediated scattering amplitudes from the quantum effective action (2020)
  8. Herrero-Valea, Mario; Santos-Garcia, Raquel: Non-minimal tinges of unimodular gravity (2020)
  9. Markus B. Fröb: FieldsX - An extension package for the xAct tensor computer algebra suite to include fermions, gauge fields and BRST cohomology (2020) arXiv
  10. Villani, Mattia: Quasi-normal mode of a regular Schwarzschild black hole (2020)
  11. Granda, L. N.; Jimenez, D. F.: Slow-roll inflation in scalar-tensor models (2019)
  12. Jafari, Ghadir; Soltanpanahi, Hesam: Instability of BTZ black holes in parity-even massive gravity (2019)
  13. Knorr, Benjamin: Lorentz symmetry is relevant (2019)
  14. Knorr, Benjamin; Ripken, Chris; Saueressig, Frank: Form factors in asymptotic safety: conceptual ideas and computational toolbox (2019)
  15. Castro, Alejandra; Godet, Victor; Larsen, Finn; Zeng, Yangwenxiao: Logarithmic corrections to black hole entropy: the non-BPS branch (2018)
  16. González Albornoz, N. L.; Schmidt-May, Angnis; von Strauss, Mikael: Dark matter scenarios with multiple spin-2 fields (2018)
  17. Gorji, Mohammad Ali; Hosseini Mansoori, Seyed Ali; Firouzjahi, Hassan: Higher derivative mimetic gravity (2018)
  18. Knorr, Benjamin: Infinite order quantum-gravitational correlations (2018)
  19. Saffer, Alexander; Yunes, Nicolás; Yagi, Kent: The gravitational wave stress-energy (pseudo)-tensor in modified gravity (2018)
  20. Nutma, Teake: \textitxTras: a field-theory inspired \textitxActpackage for Mathematica (2014)

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