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NRPyPN: Validated Post-Newtonian Expressions for Input into TwoPunctures, Wolfram Mathematica, SymPy, or Highly-Optimized C Codes

Author

Zachariah B. Etienne (https://etienneresearch.com)

Special Thanks

Special thanks to Peter Diener and Roland Haas for reviewing NRPyPN in preparation for its inclusion into the Einstein Toolkit. Also special thanks to Antoni Ramos-Buades for sharing the Mathematica notebooks that the paper "Simple procedures to reduce eccentricity of binary black hole simulations" Phys. Rev. D 99, 023003 (2019) used, so that expressions in NRPyPN could be validated.

Purpose

NRPyPN primarily focuses on implementation and validation of post-Newtonian expressions, with the immediate goal of generating high-PN-order tangential and radial momenta for binary black hole initial data with minimal eccentricity. These momenta can be directly injected into e.g., TwoPunctures to set up quasicircular binary black hole initial data.

NRPyPN bases its approach on "Simple procedures to reduce eccentricity of binary black hole simulations", Ramos-Buades, Husa, and Pratten, https://arxiv.org/abs/1810.00036, Phys. Rev. D 99, 023003 (2019)

and

"Post-Newtonian Quasicircular Initial Orbits for Numerical Relativity", Healy, Lousto, Nakano, and Zlochower, https://arxiv.org/abs/1702.00872, Class. Quant. Grav. 34 (2017) 14, 145011

Installation instructions

Prerequisites:

  • Python 3.6+ preferred, though earlier versions are supported
  • pip, the Python package manager, which should come with Python.
  • (Optional) Pandoc (https://pandoc.org/), to enable PDF conversion of NRPyPN notebooks

Python packages:

  • SymPy 1.2+
  • Jupyter

Quick install from the command line (bash shell)

  • First set up a virtual environment:

python3 -m venv nrpyvirtualenv source nrpyvirtualenv/bin/activate pip install -U sympy jupyter

  • Next navigate to Cactus/arrangements/EinsteinInitialData/NRPyPN, and run:

jupyter notebook

The NRPyPN.ipynb notebook both contains the Table of Contents and provides a simple interface for generating quasicircular

Using NRPyPN in the Einstein Toolkit, with TwoPunctures

  1. Follow the above installation instructions, launch Jupyter, then open NRPyPN.ipynb
  2. Scroll down to the bottom of NRPyPN.ipynb and insert the desired black hole binary parameters
  3. Click the "fast-forward" button at the top of the Jupyter notebook, then click "Restart and run all cells"
  4. The PN tangential and radial momenta, for insertion into TwoPunctures, will be output at the bottom.

License:

BSD 2-Clause

Copyright (c) 2020, Zachariah Etienne All rights reserved.

Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

  • Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.

  • Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

Required Citation

  1. Bibtex entry:

@misc{NRPyPN, author = {Etienne, Zachariah B.}, title = {NRPyPN: Validated Post-Newtonian Expressions for Input into Wolfram Mathematica, SymPy, or Highly Optimized C Codes}, month = nov, year = 2020, url = {https://github.com/zachetienne/nrpytutorial/blob/master/NRPyPN/} }

Suggested Citation

  1. Bibtex entry:

@article{Habib:2020dba, author = "Habib, Sarah and Ramos-Buades, Antoni and Huerta, E.A. and Husa, Sascha and Haas, Roland and Etienne, Zachariah", title = "{Initial Data and Eccentricity Reduction Toolkit for Binary Black Hole Numerical Relativity Waveforms}", eprint = "2011.08878", archivePrefix = "arXiv", primaryClass = "gr-qc", month = "11", year = "2020" }