READ ME File For 'SamuelUptonThesisAdditionalMaterial.zip'

Dataset DOI: 10.5258/SOTON/D2463

ReadMe Author: Samuel David Upton, University of Southampton, ORCID ID: 0000-0003-2965-7674

This dataset supports the thesis entitled 'Second-order gravitational self-force in a highly regular gauge'
AWARDED BY: Univeristy of Southampton
DATE OF AWARD: 2023

DESCRIPTION OF THE DATA
Mathematica notebooks containing explicit mathematical results from the thesis 'Second-order gravitational self-force in a highly regular gauge' presented in user-friendly form. All files require Mathematica and all, except ModeDecomposedGaugeVector.nb, require the tensor algebra package, xAct. This package is available at http://xact.es/.

This dataset contains:

Mathematica notebook containing the generic coordinate expansion of the Detweiler–Whiting scalar singular field through five total orders in distance from Eq. (2.105): ExpansionOfDetweilerWhitingSingularScalarField.nb.
Mathematica notebook containing the second-order singular field in the highly regular gauge expressed in Fermi–Walker coordiantes from Eqs. (4.48)–(4.49): 2ndOrderGSFhSRhSS.nb.
Mathematica notebook containing tensors that appear in the source of the second-order Teukolsky equation from Eq. (5.140): LorenzGaugeTeukolskySourceTerms.nb.
Mathematica notebook containing covariant punctures in the highly regular gauge from Ch. 6.2.3: HighlyRegularGaugeCovariantPunctures.nb.
Mathematica notebook containing generic coordinate punctures in the highly regular gauge from Ch. 6.3: HighlyRegularGaugeCoordinatePunctures.nb.
Mathematica notebook providing an interface to data files containing the mode-decomposed gauge vector from Ch. 7.5: ModeDecomposedGaugeVector.nb.

Related publication:
2ndOrderGSFhSRhSS.nb was published with https://doi.org/10.1103/PhysRevD.103.124016

Licence: CC-BY