Approximate waveforms for extreme-mass-ratio inspirals: The chimera scheme

Carlos F. Sopuerta, Nicolás Yunes

Research output: Contribution to journalConference articlepeer-review


We describe a new kludge scheme to model the dynamics of generic extreme-mass-ratio inspirals (EMRIs; stellar compact objects spiraling into a spinning supermassive black hole) and their gravitational-wave emission. The Chimera scheme is a hybrid method that combines tools from different approximation techniques in General Relativity: (i) A multipolar, post-Minkowskian expansion for the far-zone metric perturbation (the gravitational waveforms) and for the local prescription of the self-force; (ii) a post-Newtonian expansion for the computation of the multipole moments in terms of the trajectories; and (iii) a BH perturbation theory expansion when treating the trajectories as a sequence of self-adjusting Kerr geodesies. The EMRI trajectory is made out of Kerr geodesic fragments joined via the method of osculating elements as dictated by the multipolar post-Minkowskian radiation-reaction prescription. We implemented the proper coordinate mapping between Boyer-Lindquist coordinates, associated with the Kerr geodesies, and harmonic coordinates, associated with the multipolar post-Minkowskian decomposition. The Chimera scheme is thus a combination of approximations that can be used to model generic inspirals of systems with extreme to intermediate mass ratios, and hence, it can provide valuable information for future space-based gravitational-wave observatories, like LISA, and even for advanced ground detectors. The local character in time of our multipolar post-Minkowskian self-force makes this scheme amenable to study the possible appearance of transient resonances in generic inspirals.

Original languageEnglish (US)
Article number012021
JournalJournal of Physics: Conference Series
Issue number1
StatePublished - 2012
Externally publishedYes
Event9th Edoardo Amaldi Conference on Gravitational Waves, Amaldi 9 and the 2011 Numerical Relativity - Data Analysis Meeting, NRDA 2011 - Cardiff, United Kingdom
Duration: Jul 10 2011Jul 15 2011

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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