kerrgeodesic_gw

A SageMath package to compute gravitational radiation from material orbiting a Kerr black hole

Installation

Requirements

This package requires the Python-based free mathematics software system SageMath (at least version 8.2).

Simple installation from PyPI

It suffices to run

sage -pip install kerrgeodesic_gw

to have the package ready to use in SageMath. See however the install from source section below if you want to build a local version of the documentation or modify the source files (development)

Install from source

Download the source from the git repository:

git clone https://github.com/BlackHolePerturbationToolkit/kerrgeodesic_gw.git

This creates a directory kerrgeodesic_gw.

Run

sage -pip install --upgrade --no-index -v kerrgeodesic_gw

to install the package in SageMath. A shortcut of the above command is provided by the Makefile distributed with the package:

cd kerrgeodesic_gw
make install

NB: on CoCalc, you need to add the option --user, i.e. open a terminal and run

git clone https://github.com/BlackHolePerturbationToolkit/kerrgeodesic_gw.git
sage -pip install --user --upgrade --no-index -v kerrgeodesic_gw

Install for development

If you plan to edit the package source, you should add the option -e to the pip install, i.e. run

sage -pip install --upgrade --no-index -v -e kerrgeodesic_gw

or equivalently

cd kerrgeodesic_gw
make develop

Usage

Once the package is installed, you can use it in SageMath, like for instance:

sage: from kerrgeodesic_gw import spin_weighted_spherical_harmonic
sage: theta, phi = var('theta phi')
sage: spin_weighted_spherical_harmonic(-2, 2, 1, theta, phi)
1/4*(sqrt(5)*cos(theta) + sqrt(5))*e^(I*phi)*sin(theta)/sqrt(pi)

Tests

This package is configured for tests written in the documentation strings of the source files, also known as doctests. You may then test the install by running, from the root of the package tree (i.e. the directory kerrgeodesic_gw created by the git clone),

sage -t kerrgeodesic_gw

You should then get the message All tests passed!

Alternatively, you can run (from the same directory)

make test

Documentation

The package documentation can be generated using SageMath's Sphinx installation:

cd docs
sage -sh -c "make html"

A shorthand of the above is

make doc

The html reference manual is then at

kerrgeodesic_gw/docs/build/html/index.html

For the LaTeX documentation, use

make doc-pdf

The pdf reference manual is then

kerrgeodesic_gw/docs/build/latex/kerrgeodesic_gw.pdf

Online documentation

• Reference manual (PDF)
• Demo notebook