Indirect (source-free) integration method. II. Self-force consistent radial fall-Reference-Cited by-同舟云学术

Indirect (source-free) integration method. II. Self-force consistent radial fall

Published:2016-01-26 Issue:02 Volume:13 Page:1650019
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Ritter Patxi¹²³,Aoudia Sofiane⁴⁵,Spallicci Alessandro D. A. M.¹⁶,Cordier Stéphane²⁷

Affiliation:

1. Université d’Orléans, Observatoire des Sciences de l’Univers en région Centre, Centre Nationale de la Recherche Scientifique, Laboratoire de Physique et Chimie de l’Environnement et de l’Espace, 3A Av. de la Recherche Scientifique, 45071 Orléans, France

2. Université d’Orléans, Centre Nationale de la Recherche Scientifique, Mathématiques - Analyse, Probabilités, Modèlisation - Orléans, Rue de Chartres, 45067 Orléans, France

3. Univerzita Karlova, Matematicko-fyzikální fakulta, Ústav teoretické fyziky, V Holes̆ovic̆kách 2, 180 00 Praha 8, C̆eská Republika

4. Laboratoire de Physique Théorique - Faculté des Sciences Exactes, Université de Bejaia, 06000 Bejaia, Algeria

5. Max Planck Institut für Gravitationphysik, A. Einstein 1 Am Mühlenberg, 14476 Golm, Deutschland

6. Chaire Française, Universidade do Estado do Rio de Janeiro, Instituto de Física, Departamento de Física Teórica, Rua São F. Xavier 524, Maracanã, 20550-900 Rio de Janeiro, Brasil

7. Université Joseph Fourier, Agence pour les Mathématiques en Interaction, Centre Nationale de la Recherche Scientifique, Laboratoire Jean Kuntzmann, Campus St Martin d’Héres, 51 rue des Mathématiques, 38041 Grenoble, France

Abstract

We apply our method of indirect integration, described in Part I, at fourth order, to the radial fall affected by the self-force (SF). The Mode-Sum regularization 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 SF 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 (2014) 1450090].

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887816500195

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