Impact of relativistic waveforms in LISA's science objectives with extreme-mass-ratio inspirals

Fuente: arXiv
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Autores principales: Khalvati, Hassan, Santini, Alessandro, Duque, Francisco, Speri, Lorenzo, Gair, Jonathan, Yang, Huan, Brito, Richard
Formato: Preprint
Publicado: 2024
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author Khalvati, Hassan
Santini, Alessandro
Duque, Francisco
Speri, Lorenzo
Gair, Jonathan
Yang, Huan
Brito, Richard
author_facet Khalvati, Hassan
Santini, Alessandro
Duque, Francisco
Speri, Lorenzo
Gair, Jonathan
Yang, Huan
Brito, Richard
contents Extreme-Mass-Ratio Inspirals (EMRIs) are one of the key targets for future space-based gravitational wave detectors, such as LISA. The scientific potential of these sources can only be fully realized with fast and accurate waveform models. In this work, we extend the \textsc{FastEMRIWaveform} (\texttt{FEW}) framework by providing fully relativistic waveforms at adiabatic order for circular, equatorial orbits in Kerr spacetime, for mass ratios up to $10^{-3}$. We investigate the significance of including relativistic corrections in the waveform for both vacuum and non-vacuum environments. Specifically, we develop relativistic non-vacuum EMRI waveforms including two different environmental effects in the EMRI waveforms: power-law migration torques, and superradiance scalar clouds. For EMRIs in vacuum, we find that non-relativistic waveforms incorrectly estimate the predicted source's horizon redshift by approximately $35\%$ error. Our analysis shows that incorporating relativistic corrections enhances constraints on accretion disks, modeled through power-law torques, and improves the constraints on disk parameter estimates (error $\simeq 8\%$), representing a significant improvement over previous estimates. Additionally, we assess the evidence for models in a scenario where ignoring the accretion disk biases the parameter estimation (PE), reporting a $\log_{10}$ Bayes factor of $1.1$ in favor of the accretion disk model. In a fully relativistic setup, we also estimate the parameters of superradiant scalar clouds with relative errors $\simeq 0.3\%$ for the scalar cloud's mass. These results demonstrate that incorporating relativistic effects is essential for LISA science objectives with EMRIs.
format Preprint
id arxiv_https___arxiv_org_abs_2410_17310
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Impact of relativistic waveforms in LISA's science objectives with extreme-mass-ratio inspirals
Khalvati, Hassan
Santini, Alessandro
Duque, Francisco
Speri, Lorenzo
Gair, Jonathan
Yang, Huan
Brito, Richard
General Relativity and Quantum Cosmology
Astrophysics of Galaxies
High Energy Astrophysical Phenomena
Instrumentation and Methods for Astrophysics
High Energy Physics - Phenomenology
Extreme-Mass-Ratio Inspirals (EMRIs) are one of the key targets for future space-based gravitational wave detectors, such as LISA. The scientific potential of these sources can only be fully realized with fast and accurate waveform models. In this work, we extend the \textsc{FastEMRIWaveform} (\texttt{FEW}) framework by providing fully relativistic waveforms at adiabatic order for circular, equatorial orbits in Kerr spacetime, for mass ratios up to $10^{-3}$. We investigate the significance of including relativistic corrections in the waveform for both vacuum and non-vacuum environments. Specifically, we develop relativistic non-vacuum EMRI waveforms including two different environmental effects in the EMRI waveforms: power-law migration torques, and superradiance scalar clouds. For EMRIs in vacuum, we find that non-relativistic waveforms incorrectly estimate the predicted source's horizon redshift by approximately $35\%$ error. Our analysis shows that incorporating relativistic corrections enhances constraints on accretion disks, modeled through power-law torques, and improves the constraints on disk parameter estimates (error $\simeq 8\%$), representing a significant improvement over previous estimates. Additionally, we assess the evidence for models in a scenario where ignoring the accretion disk biases the parameter estimation (PE), reporting a $\log_{10}$ Bayes factor of $1.1$ in favor of the accretion disk model. In a fully relativistic setup, we also estimate the parameters of superradiant scalar clouds with relative errors $\simeq 0.3\%$ for the scalar cloud's mass. These results demonstrate that incorporating relativistic effects is essential for LISA science objectives with EMRIs.
title Impact of relativistic waveforms in LISA's science objectives with extreme-mass-ratio inspirals
topic General Relativity and Quantum Cosmology
Astrophysics of Galaxies
High Energy Astrophysical Phenomena
Instrumentation and Methods for Astrophysics
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2410.17310