Indirect (source-free) integration method. II. Self-force consistent radial fall
Abstract : We apply our method of indirect integration, described in Part I, at fourth order, to the radial fall affected by the self-force. The Mode-Sum regularisation is performed in the Regge-Wheeler gauge using the equivalence with the harmonic gauge for this orbit. We consider also the motion subjected to a self-consistent and iterative correction determined by the self-force through osculating stretches of geodesics. The convergence of the results confirms the validity of the integration method. This work complements and justifies the analysis and the results appeared in Int. J. Geom. Meth. Mod. Phys., 11, 1450090 (2014).
Cited literature [63 references]
https://hal-insu.archives-ouvertes.fr/insu-01352535
Contributor : Nathalie Pothier <>
Submitted on : Thursday, December 12, 2019 - 3:18:25 PM
Last modification on : Thursday, December 12, 2019 - 5:00:52 PM
Document(s) archivé(s) le : Friday, March 13, 2020 - 6:39:53 PM
Contributor : Nathalie Pothier <>
Submitted on : Thursday, December 12, 2019 - 3:18:25 PM
Last modification on : Thursday, December 12, 2019 - 5:00:52 PM
Document(s) archivé(s) le : Friday, March 13, 2020 - 6:39:53 PM
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