Dark matter distributions around extreme mass ratio inspirals: effects of radial pressure and relativistic treatment

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Hauptverfasser: Zhao, Yang, Gong, Yungui
Format: Preprint
Veröffentlicht: 2026
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author Zhao, Yang
Gong, Yungui
author_facet Zhao, Yang
Gong, Yungui
contents We investigate different treatments of dark matter (DM) distributions surrounding extreme mass ratio inspirals (EMRIs) to assess their impact on orbital evolution and gravitational wave emission. Density profiles derived from the mass current and from the energy-momentum tensor using a distribution function yield consistent results, but both differ substantially from profiles obtained using an anisotropic fluid model based on Einstein cluster ansatz. We find that the inclusion of radial pressure significantly modifies both the orbital dynamics and the resulting gravitational wave waveforms. By analyzing waveform dephasing and mismatches, we show that a fully relativistic treatment of DM distributions can substantially alter the detectability thresholds of DM halos. Our results demonstrate that radial pressure and relativistic modeling of DM are essential for accurately describing the dynamics and observational signatures of EMRIs embedded in DM halos.
format Preprint
id arxiv_https___arxiv_org_abs_2602_12022
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Dark matter distributions around extreme mass ratio inspirals: effects of radial pressure and relativistic treatment
Zhao, Yang
Gong, Yungui
General Relativity and Quantum Cosmology
We investigate different treatments of dark matter (DM) distributions surrounding extreme mass ratio inspirals (EMRIs) to assess their impact on orbital evolution and gravitational wave emission. Density profiles derived from the mass current and from the energy-momentum tensor using a distribution function yield consistent results, but both differ substantially from profiles obtained using an anisotropic fluid model based on Einstein cluster ansatz. We find that the inclusion of radial pressure significantly modifies both the orbital dynamics and the resulting gravitational wave waveforms. By analyzing waveform dephasing and mismatches, we show that a fully relativistic treatment of DM distributions can substantially alter the detectability thresholds of DM halos. Our results demonstrate that radial pressure and relativistic modeling of DM are essential for accurately describing the dynamics and observational signatures of EMRIs embedded in DM halos.
title Dark matter distributions around extreme mass ratio inspirals: effects of radial pressure and relativistic treatment
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2602.12022