Extracting Properties of Dark Dense Environments around Black Holes from Gravitational Waves
Qianhang Ding, Minxi He, Hui-Yu Zhu

TL;DR
This paper introduces a new method to analyze gravitational wave data to infer properties of dark matter condensates around black holes, potentially revealing dark sector characteristics.
Contribution
It defines a novel quantity from GW signals that encodes information about dark matter density profiles and environment around black holes.
Findings
The new quantity can extract dark matter properties from GW amplitude and frequency derivatives.
Multi-wavelength GW observations can probe dark dense environments around black holes.
Null detection can constrain dark matter parameters significantly.
Abstract
Dark matter (DM) can form dense condensates around black holes (BHs), such as superradiant clouds and ultracompact mini halos, which can significantly affect the orbital evolution of their companion objects through dynamical friction (DF). In this work, we define a novel quantity to quantify such effects in the emitted gravitational waves (GWs) in terms of GW amplitude, frequency, and their time derivatives. The information about the density profile can be extracted from this quantity, which characterizes the type of condensate and, therefore, the corresponding DM property. This quantity allows us to probe the dark dense environment by multi-wavelength GW observation with existing ground-based and future space-based GW detectors, potentially revealing the properties of the dark sector and shedding light on the primordial origin of the stellar mass BHs. A null detection can place strong…
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