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An Efficient Time-Domain Method to Model Extreme-Mass-Ratio Inspirals

2010/09/30 by Priscilla Canizares, P. Cañizares, Carlos F. Sopuerta +2
Engineering · Physics and Astronomy · #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Astrophysical Phenomena (astro-ph.HE) #Structural Health Monitoring Techniques #astro-ph.CO #astro-ph.HE #gr-qc

paper · pdf · doi:10.48550/arxiv.1009.6073

6 pages, 7 figures, submitted to proceedings of the 8th International LISA Symposium, Stanford, June 28 - July 2, 2010

arxiv created 2010/09/30 · openalex publication_date 2010/09/30 · arxiv updated 2010/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The gravitational-wave signals emitted by Extreme-Mass-Ratio Inspirals will be hidden in the instrumental LISA noise and the foreground noise produced by galactic binaries in the LISA band. Then, we need accurate gravitational-wave templates to extract these signals from the noise and obtain the relevant physical parameters. This means that in the modeling of these systems we have to take into account how the orbit of the stellar-mass compact object is modified by the action of its own gravitational field. This effect can be described as the action of a local force, the self-force. We present a time-domain technique to compute the self-force for geodesic eccentric orbits around a non-rotating massive black hole. To illustrate the method we have applied it to a testbed model consisting of scalar charged particle orbiting a non-dynamical black hole. A key feature of our method is that it does not introduce a small scale associated with the stellar-mass compact object. This is achieved by using a multidomain framework where the particle is located at the interface between two subdomains. In this way, we just have to evolve homogeneous wave-like equations with smooth solutions that have to be communicated across the subdomain boundaries using appropriate junction conditions. The numerical technique that we use to implement this scheme is the pseudospectral collocation method. We show the suitability of this technique for the modeling of Extreme-Mass-Ratio Inspirals and show that it can provide accurate results for the self-force.

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