TInvar

The TInvar package provides a set of functions for canonicalization of expressions involving the Riemann tensor.

<< xAct`TInvar`
DefManifold[M, 4, IndexRange[a, f]];
DefMetric[-1, g[-a, -b], CD];
RiemannSimplify[RiemannCD[a, b, c, d] + RiemannCD[a, c, d, b] + RiemannCD[a, d, b, c]]

Installation

1. To run this package you need to have xAct installed.
2. TInvar is distributed as a Paclet that can be installed using PacletInstall. For example, to install the latest version from the Black Hole Perturbation Toolkit Paclet Server:

   PacletSiteRegister["https://pacletserver.bhptoolkit.org", "Black Hole Perturbation Toolkit Paclet Server"]
   PacletSiteUpdate["https://pacletserver.bhptoolkit.org"]
   PacletInstall["TInvar"]
   

Documentation

Usage examples can be found in the documentation. This is available online and within the Wolfram Documentation Center by selecting Help → Wolfram Documentation from then menu and searching for TInvar.

Authors

TInvar was created by:

Kevin Kiely, Barry Wardell, Adrian Ottewill and José M. Martín-García.

It is based on Invar and Invar2, which were created by:

José M. Martín-García, David Yllanes, Renato Portugal and Leon Manssur.