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Published December 15, 2022 | public
Journal Article

Nonlocal parameter degeneracy in the intrinsic space of gravitational-wave signals from extreme-mass-ratio inspirals

Abstract

Extreme-mass-ratio inspirals will be prized sources for the upcoming space-based gravitational-wave observatory Laser Interferometer Space Antenna (LISA). The hunt for these is beset by many open theoretical and computational problems in both source modeling and data analysis. We draw attention here to one of the most poorly understood: the phenomenon of nonlocal correlations in the space of extreme-mass-ratio-inspiral signals. Such correlations are ubiquitous in the continuum of possible signals (degeneracy) and severely hinder the search for actual signals in LISA data. However, they are unlikely to manifest in a realistic set of putative signals (confusion). We develop an inventory of new analysis tools in order to conduct an extensive qualitative study of degeneracy—its nature, causes, and implications. Previously proposed search strategies for extreme-mass-ratio inspirals are reviewed in the light of our results, and additional guidelines are suggested for the scientific analysis of such sources.

Additional Information

A. J. K. C. broadly thanks members of the LISA and self-force communities for any relevant discussions that might have taken place over the past four years. Specific gratitude goes out to Michele Vallisneri and Yanbei Chen for their financial and moral support. Both A. J. K. C. and C. J. C. acknowledge support from the NASA LISA Preparatory Science Grants No. 18-LPS18-0027 and No. 20-LPS20-0005, from the NSF Grant No. PHY-2011968, and from the Jet Propulsion Laboratory (JPL) Research and Technology Development program. Parts of this work were carried out at JPL, California Institute of Technology, under a contract with the National Aeronautics and Space Administration (80NM0018D0004).

Additional details

Created:
August 20, 2023
Modified:
February 10, 2024