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  Fast Self-forced Inspirals

van de Meent, M., & Warburton, N. (2018). Fast Self-forced Inspirals. Classical and quantum gravity, 35(14): 144003. doi:10.1088/1361-6382/aac8ce.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0001-40C8-5 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-FA9A-7
Genre: Journal Article

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 Creators:
van de Meent , Maarten1, Author
Warburton, Niels, Author
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24008              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
 Abstract: We present a new, fast method for computing the inspiral trajectory and gravitational waves from extreme mass-ratio inspirals that can incorporate all known (and future) self-force results. Using near-identity (averaging) transformations we formulate equations of motion that do not explicitly depend upon the orbital phases of the inspiral, making them fast to evaluate, and whose solutions track the evolving constants of motion, orbital phases and waveform phase of a full self-force inspiral to $O(\eta)$, where $\eta$ is the (small) mass ratio. As a concrete example, we implement these equations for inspirals of non-spinning (Schwarzschild) binaries. Our code computes inspiral trajectories in milliseconds which is a speed up of 2-5 orders of magnitude (depending on the mass-ratio) over previous self-force inspiral models which take minutes to hours to evaluate. Computing two-year duration waveforms using our new model we find a mismatch better than $\sim 10^{-4}$ with respect to waveforms computed using the (slower) full self-force models. The speed of our new approach is comparable with kludge models but has the added benefit of easily incorporating self-force results which will, once known, allow the waveform phase to be tracked to sub-radian accuracy over an inspiral.

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 Dates: 2018-02-142018
 Publication Status: Published in print
 Pages: 33 pages, code available at http://bhptoolkit.org/
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1802.05281
URI: http://arxiv.org/abs/1802.05281
DOI: 10.1088/1361-6382/aac8ce
 Degree: -

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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 35 (14) Sequence Number: 144003 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: https://pure.mpg.de/cone/journals/resource/954925513480_1