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A fully relativistic radial fall
- A. Spallicci, P. Ritter
- Physics
- 21 July 2014
Radial fall has historically played a momentous role. It is one of the most classical problems, the solutions of which represent the level of understanding of gravitation in a given epoch. A {\it…
Self-force driven motion in curved spacetime
- A. Spallicci, P. Ritter, S. Aoudia
- Physics
- 1 September 2014
We adopt the Dirac–Detweiler–Whiting radiative and regular effective field in curved spacetime. Thereby, we derive straightforwardly the first order perturbative correction to the geodesic of the…
Indirect (source-free) integration method. II. Self-force consistent radial fall
- P. Ritter, S. Aoudia, A. Spallicci, S. Cordier
- Physics
- 13 November 2015
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…
Indirect (source-free) integration method. I. Wave-forms from geodesic generic orbits of EMRIs
- P. Ritter, S. Aoudia, A. Spallicci, S. Cordier
- Physics
- 13 November 2015
The Regge-Wheeler-Zerilli (RWZ) wave-equation describes Schwarzschild-Droste black hole perturbations. The source term contains a Dirac distribution and its derivative. We have previously designed a…
A fourth-order indirect integration method for black hole perturbations: even modes
- P. Ritter, A. Spallicci, S. Aoudia, S. Cordier
- Physics
- 11 February 2011
On the basis of a recently proposed strategy of finite element integration in time domain for partial differential equations with a singular source term, we present a fourth-order algorithm for…
Towards a self-consistent orbital evolution for EMRIs
- A. Spallicci, P. Ritter, S. Jubertie, S. Cordier, S. Aoudia
- Physics
- 21 May 2012
We intend to develop part of the theoretical tools needed for the detection of gravitational waves coming from the capture of a compact object, 1-100 solar masses, by a Supermassive Black Hole, up to…
2 1 Ju l 2 01 4 Preprint A fully relativistic radial fall
- A. Spallicci, P. Ritter
- 2018
Alessandro D.A.M. Spallicci and Patxi Ritter 2 Université d’Orléans Observatoire des Sciences de l’Univers en région Centre, OSUC UMS 3116 Laboratoire de Physique et Chimie de l’Environnement et de…
Self-force driven motion in curved spacetimes
- A. Spallicci, P. Ritter, S. Aoudia
- Physics
- 16 May 2014
We adopt the Dirac-Detweiler-Whiting radiative and regular effective field in curved spacetime. Thereby, we derive straightforwardly the first order perturbative correction to the geodesic of the…