Black Hole Perturbation Toolkit
Published May 17, 2022 | Version 1.0
Software Open

Self-Force Regularisation Parameters Package

Authors/Creators

  • 1. University of Balearic Islands

Contributors

Data curator:

  • 1. NASA Goddard Space Flight Center

Description

This is a Mathematica Package that returns the self-force and singular field regularisation parameters for a scalar point charge on a generic orbit in Kerr Spacetime. One can therefore also retrieve simpler expressions, e.g. Schwarzschild, equatorial orbits, circular orbits, etc. by selecting the required parameters. A readme.nb has been included with sample data, provided by Zachary Nasipak, to illustrate how the package works, we also include a citation function to output the bibtex entry for citations to this code and the papers that derived the relevant expressions (different configurations will return different citations, i.e. zero spin, will return the Schwarzschild regularisation papers). These citations are in agreement with the tables on the black hole perturbation toolkit regularisation page, where a copy of this code also exists. Further versions of this code will follow addressing the electromagnetic and gravity cases.

Notes

The author would like to thank Adrian Ottewill, Barry Wardell, Bernard Whiting, Sascha Husa and Marta Colleoni for insightful discussions and Zachary Nasipak for providing data and beta testing this package. The author gratefully acknowledges funding from the European Union's Horizon 2020 research and innovation programme under grant agreement 661705-GravityWaveWindow and the Natural Sciences and Engineering Research Council of Canada. Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Economic Development Canada and in part by the Province of Ontario through the Ministry of Colleges and Universities. This work was supported by European Union FEDER funds, the Spanish Ministerio de Ciencia e Innovación, and the Spanish Agencia Estatal de Investigación grant PID2019-106416GB-I00/AEI/MCIN/10.13039/501100011033, as well as Comunitat Autònoma de les Illes Balears through the Conselleria de Fons Europeus, Universitat i Cultura and the Direcció General de Política Universitaria i Recerca with funds from the Tourist Stay Tax Law ITS 2017-006 (PRD2018/24, PRD2020/11).

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Additional details

Cites
Journal article: https://arxiv.org/abs/gr-qc/0204093 (URL)
Journal article: https://arxiv.org/abs/gr-qc/0605077 (URL)
Journal article: https://arxiv.org/abs/1204.0794 (URL)
Preprint: https://arxiv.org/abs/gr-qc/9911040 (URL)
Journal article: https://arxiv.org/abs/gr-qc/0205079 (URL)
Journal article: https://arxiv.org/abs/gr-qc/0212103 (URL)
Journal article: https://arxiv.org/abs/1211.6446 (URL)
Journal article: https://arxiv.org/abs/1905.13237 (URL)
Journal article: https://arxiv.org/abs/2105.15188 (URL)
Is supplement to
Preprint: https://arxiv.org/abs/2107.14750 (URL)

Funding

European Commission
GravityWaveWindow - Gravitational Self-Force and Post-Newtonian Methods for Gravitational Wave Detection 661705