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A fully relativistic radial fall
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
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
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
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
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
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
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
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