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The presence of dark matter overdensities surrounding a black hole caninfluence the evolution of a binary system. The gravitational wave signalsemitted by a black hole binary offer a promising means to probe the dark matterenvironments near a black hole. The dense region of dark matter can lead to thedephasing of gravitational waveforms, which can be detected by upcomingexperiments such as the Laser Interferometer Space Antenna (LISA). The darkmatter density profile around the black hole can vary for different dark mattermodels. Our study specifically investigates the impact of the ultralightself-interacting scalar dark matter (SIDM) on the gravitational wave signalsemitted by black hole binaries. A distinctive characteristic of SIDMsurrounding a black hole, as opposed to collisionless dark matter, is theformation of a soliton core. We perform a Fisher matrix analysis to estimatethe size of the soliton and the corresponding SIDM parameter space that futureLISA-like gravitational wave experiments can explore.

Gravitational wave probes on self-interacting dark matter surrounding an intermediate mass black hole