The \texttt{Invar} tensor package: differential invariants of Riemann

DOI10.1016/j.cpc.2008.04.018zbMath1197.15001arXiv0802.1274OpenAlexW2072638007MaRDI QIDQ711099

D. Kharzeev

Publication date: 25 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.1274

zbMATH Keywords

computer algebraRiemann tensortensor calculus\texttt{Maple}\texttt{Mathematica}

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to linear algebra (15-04)

Related Items (28)

Shift-symmetric Horndeski gravity in the asymptotic-safety paradigm ⋮ Normalization in Riemann tensor polynomial ring ⋮ Quantum corrections to unimodular gravity ⋮ Rigid supersymmetry from conformal supergravity in five dimensions ⋮ Superconformal indices and M2-branes ⋮ \textit{xTras}: a field-theory inspired \textit{xAct} package for Mathematica ⋮ Infinite order quantum-gravitational correlations ⋮ Yang-Mills Casimir wormholes in D = 2 + 1 ⋮ Extremal black holes in dynamical Chern–Simons gravity ⋮ Elucidation of covariant proofs in general relativity: example of the use of algebraic software in the shear-free conjecture in MAPLE ⋮ An effective formalism for testing extensions to general relativity with gravitational waves ⋮ Distance invariant method for normalization of indexed differentials ⋮ Light charged fermions in quantum gravity ⋮ The gravitational wave stress–energy (pseudo)-tensor in modified gravity ⋮ An example of non-Weyl preserving complex transformation ⋮ Quasi-normal mode of a regular Schwarzschild black hole ⋮ Lessons from conformally reduced quantum gravity ⋮ \textit{Spinors}: a Mathematica package for doing spinor calculus in general relativity ⋮ xTensor ⋮ Lorentz symmetry is relevant ⋮ \(xPert\): Computer algebra for metric perturbation theory ⋮ Effective field theory of gravity to all orders ⋮ The weak-gravity bound and the need for spin in asymptotically safe matter-gravity models ⋮ Irrelevant operators and their holographic anomalies ⋮ Supertranslations and holographic stress tensor ⋮ Are there ALPs in the asymptotically safe landscape? ⋮ Faster tensor canonicalization ⋮ From a locality-principle for new physics to image features of regular spinning black holes with disks

Uses Software

• Canon
• Invar
• Maple
• Mathematica

Cites Work

• Unnamed Item
• The Canon package: a fast kernel for tensor manipulators
• The Invar tensor package
• The identities of the algebraic invariants of the four-dimensional Riemann tensor. III
• Normal forms for tensor polynomials. I. The Riemann tensor
• Dimensionally dependent tensor identities by double antisymmetrization
• Differential invariants and regularity
• GROUP-THEORETIC APPROACH FOR SYMBOLIC TENSOR MANIPULATION
• General Relativity

This page was built for publication: The \texttt{Invar} tensor package: differential invariants of Riemann