This repository was created to make lengthy post-Newtonian results:
- easier to find, by putting all known results in one place
- more traceable, by collecting the various references in the literature in one place and flagging known discrepancies and typos
- more user-friendly, by including associated machine-readable files (in Wolfram language format)
- more reliable, by allowing users to endorse a result they agree with, and raise issues when typos or disagreements have been identified
Currently, the scope of this repository is complete, fully analytical, post-Newtonian results for the two-body problem in general relativity. Partial results, semi-analytical, many-body results or alternative theories of gravity are at this stage outside the scope of this repository.
The repository currently contains two main directories:
Publications, which is compendium of publications and the machine-readable post-Newtonian results associated to them. Publications are referenced preferably by their arXiv number, if it exists, otherwise by their journal reference.Core post-Newtonian quantities, which aims to contain machine-readable files corresponding to the state of the art of post-Newtonian predictions for gravitational waveforms. It is structured using nested directories.
Alongside each machine-readable file (or collection of files), there should be a README.md file. This file should contain:
- the description of the physical quantity presented
- the notation used
- the reference(s) of the result, and potential known typos and disagreements
- a list of endorsers
Currently, the results are quite scarce, because it is intended to be a collaborative effort. Users are encourage to raise a pull request to:
- upload a missing machine-readable file
- endorse an available machine-readable file
- add or correct references or notations in the README.md files
- raise an issue if they have a disagreement with an available machine-readable file
Suggestions are also welcome.
If you have used this repository for your academic work, please acknowledge it by citing the repository. For this, just click on Cite this repository in the About section of the right-hand side of the page, and copy-paste the BibTeX file.
Directories that do not contain any information yet are flagged as [empty]. The current tree structure is as follows:
.
|-- Core post-Newtonian quantities
| |-- Conserved quantities
| | |-- Angular momentum [empty]
| | | |-- Circular orbits [empty]
| | | | |-- Spinning [empty]
| | | | | |-- Precessing [empty]
| | | | | | |-- With tidal effects [empty]
| | | | | | `-- Without tidal effects [empty]
| | | | | `-- Nonprecessing [empty]
| | | | | |-- With tidal effects [empty]
| | | | | `-- Without tidal effects [empty]
| | | | `-- Nonspinning [empty]
| | | | |-- Without tidal effects [empty]
| | | | `-- With tidal effects [empty]
| | | |-- Elliptic orbits [empty]
| | | | |-- Spinning [empty]
| | | | | |-- Nonprecessing [empty]
| | | | | | |-- With tidal effects [empty]
| | | | | | `-- Without tidal effects [empty]
| | | | | `-- Precessing [empty]
| | | | | |-- With tidal effects [empty]
| | | | | `-- Without tidal effects [empty]
| | | | `-- Nonspinning [empty]
| | | | |-- With tidal effects [empty]
| | | | `-- Without tidal effects [empty]
| | | `-- Hyperbolic orbits [empty]
| | | |-- Spinning [empty]
| | | | |-- Nonprecessing [empty]
| | | | | |-- With tidal effects [empty]
| | | | | `-- Without tidal effects [empty]
| | | | `-- Precessing [empty]
| | | | |-- With tidal effects [empty]
| | | | `-- Without tidal effects [empty]
| | | `-- Nonspinning [empty]
| | | |-- With tidal effects [empty]
| | | `-- Without tidal effects [empty]
| | |-- Center-of-mass position [empty]
| | | |-- Circular orbits [empty]
| | | | |-- Spinning [empty]
| | | | | |-- Precessing [empty]
| | | | | | |-- With tidal effects [empty]
| | | | | | `-- Without tidal effects [empty]
| | | | | `-- Nonprecessing [empty]
| | | | | |-- With tidal effects [empty]
| | | | | `-- Without tidal effects [empty]
| | | | `-- Nonspinning [empty]
| | | | |-- With tidal effects [empty]
| | | | `-- Without tidal effects [empty]
| | | |-- Elliptic orbits [empty]
| | | | |-- Spinning [empty]
| | | | | |-- Nonprecessing [empty]
| | | | | | |-- With tidal effects [empty]
| | | | | | `-- Without tidal effects [empty]
| | | | | `-- Precessing [empty]
| | | | | |-- With tidal effects [empty]
| | | | | `-- Without tidal effects [empty]
| | | | `-- Nonspinning [empty]
| | | | |-- With tidal effects [empty]
| | | | `-- Without tidal effects [empty]
| | | `-- Hyperbolic orbits [empty]
| | | |-- Spinning [empty]
| | | | |-- Nonprecessing [empty]
| | | | | |-- With tidal effects [empty]
| | | | | `-- Without tidal effects [empty]
| | | | `-- Precessing [empty]
| | | | |-- With tidal effects [empty]
| | | | `-- Without tidal effects [empty]
| | | `-- Nonspinning [empty]
| | | |-- With tidal effects [empty]
| | | `-- Without tidal effects [empty]
| | |-- Energy
| | | |-- Circular orbits
| | | | |-- Spinning
| | | | | |-- Nonprecessing
| | | | | | |-- With tidal effects
| | | | | | `-- Without tidal effects
| | | | | `-- Precessing [empty]
| | | | | |-- Without tidal effects [empty]
| | | | | `-- With tidal effects [empty]
| | | | `-- Nonspinning
| | | | |-- With tidal effects [empty]
| | | | `-- Without tidal effects
| | | |-- Elliptic orbits [empty]
| | | | |-- Spinning [empty]
| | | | | |-- Nonprecessing [empty]
| | | | | | |-- With tidal effects [empty]
| | | | | | `-- Without tidal effects [empty]
| | | | | `-- Precessing [empty]
| | | | | |-- With tidal effects [empty]
| | | | | `-- Without tidal effects [empty]
| | | | `-- Nonspinning [empty]
| | | | |-- With tidal effects [empty]
| | | | `-- Without tidal effects [empty]
| | | `-- Hyperbolic orbits [empty]
| | | |-- Spinning [empty]
| | | | |-- Nonprecessing [empty]
| | | | | |-- With tidal effects [empty]
| | | | | `-- Without tidal effects [empty]
| | | | `-- Precessing [empty]
| | | | |-- With tidal effects [empty]
| | | | `-- Without tidal effects [empty]
| | | `-- Nonspinning [empty]
| | | |-- With tidal effects [empty]
| | | `-- Without tidal effects [empty]
| | `-- Linear momentum [empty]
| | |-- Circular orbits [empty]
| | | |-- Spinning [empty]
| | | | |-- Precessing [empty]
| | | | | |-- With tidal effects [empty]
| | | | | `-- Without tidal effects [empty]
| | | | `-- Nonprecessing [empty]
| | | | |-- With tidal effects [empty]
| | | | `-- Without tidal effects [empty]
| | | `-- Nonspinning [empty]
| | | |-- With tidal effects [empty]
| | | `-- Without tidal effects [empty]
| | |-- Elliptic orbits [empty]
| | | |-- Spinning [empty]
| | | | |-- Nonprecessing [empty]
| | | | | |-- With tidal effects [empty]
| | | | | `-- Without tidal effects [empty]
| | | | `-- Precessing [empty]
| | | | |-- With tidal effects [empty]
| | | | `-- Without tidal effects [empty]
| | | `-- Nonspinning [empty]
| | | |-- With tidal effects [empty]
| | | `-- Without tidal effects [empty]
| | `-- Hyperbolic orbits [empty]
| | |-- Spinning [empty]
| | | |-- Nonprecessing [empty]
| | | | |-- With tidal effects [empty]
| | | | `-- Without tidal effects [empty]
| | | `-- Precessing [empty]
| | | |-- With tidal effects [empty]
| | | `-- Without tidal effects [empty]
| | `-- Nonspinning [empty]
| | |-- With tidal effects [empty]
| | `-- Without tidal effects [empty]
| |-- Fluxes
| | |-- Center-of-mass position flux [empty]
| | | |-- Circular orbits [empty]
| | | | |-- Spinning [empty]
| | | | | |-- Nonprecessing [empty]
| | | | | | |-- With tidal effects [empty]
| | | | | | `-- Without tidal effects [empty]
| | | | | `-- Precessing [empty]
| | | | | |-- With tidal effects [empty]
| | | | | `-- Without tidal effects [empty]
| | | | `-- Nonspinning [empty]
| | | | |-- With tidal effects [empty]
| | | | `-- Without tidal effects [empty]
| | | |-- Elliptic orbits [empty]
| | | | |-- Spinning [empty]
| | | | | |-- Nonprecessing [empty]
| | | | | | |-- With tidal effects [empty]
| | | | | | `-- Without tidal effects [empty]
| | | | | `-- Precessing [empty]
| | | | | |-- With tidal effects [empty]
| | | | | `-- Without tidal effects [empty]
| | | | `-- Nonspinning [empty]
| | | | |-- With tidal effects [empty]
| | | | `-- Without tidal effects [empty]
| | | `-- Hyperbolic orbits [empty]
| | | |-- Spinning [empty]
| | | | |-- Nonprecessing [empty]
| | | | | |-- With tidal effects [empty]
| | | | | `-- Without tidal effects [empty]
| | | | `-- Precessing [empty]
| | | | |-- With tidal effects [empty]
| | | | `-- Without tidal effects [empty]
| | | `-- Nonspinning [empty]
| | | |-- With tidal effects [empty]
| | | `-- Without tidal effects [empty]
| | |-- Energy flux
| | | |-- Circular orbits
| | | | |-- Spinning
| | | | | |-- Nonprecessing
| | | | | | |-- With tidal effects
| | | | | | `-- Without tidal effects
| | | | | `-- Precessing [empty]
| | | | | |-- Without tidal effects [empty]
| | | | | `-- With tidal effects [empty]
| | | | `-- Nonspinning
| | | | |-- With tidal effects [empty]
| | | | `-- Without tidal effects
| | | |-- Elliptic orbits
| | | | |-- Spinning [empty]
| | | | | |-- Nonprecessing [empty]
| | | | | | |-- Without tidal effects [empty]
| | | | | | `-- With tidal effects [empty]
| | | | | `-- Precessing [empty]
| | | | | |-- Without tidal effects [empty]
| | | | | `-- With tidal effects [empty]
| | | | `-- Nonspinning
| | | | |-- With tidal effects [empty]
| | | | `-- Without tidal effects
| | | `-- Hyperbolic orbits [empty]
| | | |-- Spinning [empty]
| | | | |-- Nonprecessing [empty]
| | | | | |-- Without tidal effects [empty]
| | | | | `-- With tidal effects [empty]
| | | | `-- Precessing [empty]
| | | | |-- Without tidal effects [empty]
| | | | `-- With tidal effects [empty]
| | | `-- Nonspinning [empty]
| | | |-- With tidal effects [empty]
| | | `-- Without tidal effects [empty]
| | |-- Angular momentum flux
| | | |-- Circular orbits
| | | | |-- Spinning
| | | | | |-- Nonprecessing
| | | | | | |-- With tidal effects
| | | | | | `-- Without tidal effects
| | | | | `-- Precessing [empty]
| | | | | |-- With tidal effects [empty]
| | | | | `-- Without tidal effects [empty]
| | | | `-- Nonspinning
| | | | |-- With tidal effects [empty]
| | | | `-- Without tidal effects
| | | |-- Hyperbolic orbits [empty]
| | | | |-- Spinning [empty]
| | | | | |-- Nonprecessing
| | | | | | |-- With tidal effects [empty]
| | | | | | `-- Without tidal effects [empty]
| | | | | `-- Precessing
| | | | | |-- With tidal effects [empty]
| | | | | `-- Without tidal effects [empty]
| | | | `-- Nonspinning [empty]
| | | | |-- With tidal effects [empty]
| | | | `-- Without tidal effects [empty]
| | | `-- Elliptic orbits
| | | |-- Nonspinning
| | | | |-- With tidal effects [empty]
| | | | `-- Without tidal effects
| | | `-- Spinning [empty]
| | | |-- Nonprecessing [empty]
| | | | |-- With tidal effects [empty]
| | | | `-- Without tidal effects [empty]
| | | `-- Precessing [empty]
| | | |-- With tidal effects [empty]
| | | `-- Without tidal effects [empty]
| | `-- Linear momentum flux [empty]
| | |-- Circular orbits [empty]
| | | |-- Spinning [empty]
| | | | |-- Nonprecessing [empty]
| | | | | |-- With tidal effects [empty]
| | | | | `-- Without tidal effects [empty]
| | | | `-- Precessing [empty]
| | | | |-- With tidal effects [empty]
| | | | `-- Without tidal effects [empty]
| | | `-- Nonspinning [empty]
| | | |-- With tidal effects [empty]
| | | `-- Without tidal effects [empty]
| | |-- Elliptic orbits [empty]
| | | |-- Nonspinning [empty]
| | | | |-- With tidal effects [empty]
| | | | `-- Without tidal effects [empty]
| | | `-- Spinning [empty]
| | | |-- Nonprecessing [empty]
| | | | |-- With tidal effects [empty]
| | | | `-- Without tidal effects [empty]
| | | `-- Precessing [empty]
| | | |-- With tidal effects [empty]
| | | `-- Without tidal effects [empty]
| | `-- Hyperbolic orbits [empty]
| | |-- Nonspinning [empty]
| | | |-- With tidal effects [empty]
| | | `-- Without tidal effects [empty]
| | `-- Spinning [empty]
| | |-- Nonprecessing [empty]
| | | |-- With tidal effects [empty]
| | | `-- Without tidal effects [empty]
| | `-- Precessing [empty]
| | |-- With tidal effects [empty]
| | `-- Without tidal effects [empty]
| `-- Waveform
| |-- Circular orbits
| | |-- Spinning
| | | |-- Nonprecessing
| | | | |-- With tidal effects
| | | | `-- Without tidal effects
| | | `-- Precessing [empty]
| | | |-- Without tidal effects [empty]
| | | `-- With tidal effects [empty]
| | `-- Nonspinning
| | |-- With tidal effects [empty]
| | `-- Without tidal effects
| |-- Elliptic orbits [empty]
| | |-- Spinning [empty]
| | | |-- Nonprecessing [empty]
| | | | |-- Without tidal effects [empty]
| | | | `-- With tidal effects [empty]
| | | `-- Precessing [empty]
| | | |-- Without tidal effects [empty]
| | | `-- With tidal effects [empty]
| | `-- Nonspinning [empty]
| | |-- Without tidal effects [empty]
| | `-- With tidal effects [empty]
| `-- Hyperbolic orbits [empty]
| |-- Spinning [empty]
| | |-- Nonprecessing [empty]
| | | |-- Without tidal effects [empty]
| | | `-- With tidal effects [empty]
| | `-- Precessing [empty]
| | |-- Without tidal effects [empty]
| | `-- With tidal effects [empty]
| `-- Nonspinning [empty]
| |-- Without tidal effects [empty]
| `-- With tidal effects [empty]
`-- Publications
|-- arXiv:0711.0302v2
|-- arXiv:2304.11186v4
|-- arXiv:2304.11185v4
`-- arXiv:2410.16373v1