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【摘要】

The adiabatic growth of a black hole may enhance the dark matter density surrounding it, causing a spike in the dark matter density profile. In this work, we study the effects of dark matter in the gravitational wave binary, assuming the existence of a mini-spike in the dark matter density profile. Next generation gravitational detector such as Cosmic Explorer (CE) and Einstein telescope (ET) will be very sensitive to the phase of gravitational waves, allowing for a direct measurement and providing constraints on the abundance of PBH. We will show that the dephasing of the gravitational waveform induced by dark matter is smaller but is still potentially detectable with the Einstein Telescope interferometer.