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Fast Tensor eValuation (FTeV)

FTeV is a simple a useful Mathematica Package for defining and computing tensors from a given coordinate basis. Emphasis is given to the tensors used in General Relativity and other theories of gravity. Convenient functions for printing out the results and for computing metric perturbations are included.

Example 1: Cosmological background

example1

Example 2: Perturbations

example2

Instalation

To install, copy and execute the following line inside Mathematica:

PacletInstall["https://github.com/davi-rodrigues/FTeV/raw/main/FTeV-0.13.4.paclet"]

If PacletInstall does not work (which may happen in older Mathematica versions), directly download the file FTeV-0.13.4.paclet and save it in any folder. Then open Mathematica and run PacletInstall["put_here_the full_path_to_the_file/FTeV-0.13.4.paclet"].

Older FTeV versions can be easily installed changing properly the last number.

An output with a PacletObject should appear immediately.

After the instalation, to call the package just execute the following in Mathematica

<< FTeV`

A usage example notebook is provided (Simple example for perturbations within GR and BD.nb).

Thanks

FTeV belongs to a scientific project that is partially funded by CNPq (Brazil) and FAPES (Brazil).

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