Extreme mass ratio inspirals in rotating dark matter spikes

Fuente: arXiv
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Auteurs principaux: Mitra, Soumodeep, Speeney, Nicholas, Chakraborty, Sumanta, Berti, Emanuele
Format: Preprint
Publié: 2025
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author Mitra, Soumodeep
Speeney, Nicholas
Chakraborty, Sumanta
Berti, Emanuele
author_facet Mitra, Soumodeep
Speeney, Nicholas
Chakraborty, Sumanta
Berti, Emanuele
contents Gravitational wave (GW) signals from extreme mass ratio inspirals (EMRIs) are a key observational target for the Laser Interferometer Space Antenna (LISA). The waveforms may be affected by the astrophysical environment surrounding the central black hole (BH), and in particular by the surrounding dark matter (DM) distribution. In this work, we consider the effect of a rotating DM "spike" around a central Kerr BH, and assess its detectability with LISA. Using a fully relativistic model for the rotating spike, we investigate its effect on the inspiral and hence on the emitted GW signals. We compute dephasings and mismatches to quantify how the spin of the primary BH affects the binary dynamics and the gravitational waveform. We show that the modifications due to the spin of the primary BH improve the detection prospects of DM spikes with LISA, and must be taken into account for future parameter estimation studies. We also estimate within post-Newtonian theory how the environment affects the background metric, and show that this effect is mostly negligible for the systems we consider.
format Preprint
id arxiv_https___arxiv_org_abs_2505_04697
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Extreme mass ratio inspirals in rotating dark matter spikes
Mitra, Soumodeep
Speeney, Nicholas
Chakraborty, Sumanta
Berti, Emanuele
General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
Gravitational wave (GW) signals from extreme mass ratio inspirals (EMRIs) are a key observational target for the Laser Interferometer Space Antenna (LISA). The waveforms may be affected by the astrophysical environment surrounding the central black hole (BH), and in particular by the surrounding dark matter (DM) distribution. In this work, we consider the effect of a rotating DM "spike" around a central Kerr BH, and assess its detectability with LISA. Using a fully relativistic model for the rotating spike, we investigate its effect on the inspiral and hence on the emitted GW signals. We compute dephasings and mismatches to quantify how the spin of the primary BH affects the binary dynamics and the gravitational waveform. We show that the modifications due to the spin of the primary BH improve the detection prospects of DM spikes with LISA, and must be taken into account for future parameter estimation studies. We also estimate within post-Newtonian theory how the environment affects the background metric, and show that this effect is mostly negligible for the systems we consider.
title Extreme mass ratio inspirals in rotating dark matter spikes
topic General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2505.04697