Skip to Main content Skip to Navigation
New interface
Journal articles

Indirect (source-free) integration method. I. Wave-forms from geodesic generic orbits of EMRIs

Abstract : 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 method of integration in time domain. It consists of a finite difference scheme where analytic expressions, dealing with the wave-function discontinuity through the jump conditions, replace the direct integration of the source and the potential. Herein, we successfully apply the same method to the geodesic generic orbits of EMRI (Extreme Mass Ratio Inspiral) sources, at second order. An EMRI is a Compact Star (CS) captured by a Super Massive Black Hole (SMBH). These are considered the best probes for testing gravitation in strong regime. The gravitational wave-forms, the radiated energy and angular momentum at infinity are computed and extensively compared with other methods, for different orbits (circular, elliptic, parabolic, including zoom-whirl).
Complete list of metadata

Cited literature [33 references]  Display  Hide  Download
Contributor : Nathalie POTHIER Connect in order to contact the contributor
Submitted on : Monday, May 29, 2017 - 3:24:54 PM
Last modification on : Tuesday, May 10, 2022 - 3:24:56 PM
Long-term archiving on: : Wednesday, September 6, 2017 - 11:10:54 AM


Files produced by the author(s)


Distributed under a Creative Commons Attribution - NonCommercial - NoDerivatives 4.0 International License




P. Ritter, S. Aoudia, Alessandro D. A. M. Spallicci, Stéphane Cordier. Indirect (source-free) integration method. I. Wave-forms from geodesic generic orbits of EMRIs. International Journal of Geometric Methods in Modern Physics, 2016, 13 (02), pp.1650021. ⟨10.1142/S0219887816500213⟩. ⟨insu-01352533⟩



Record views


Files downloads