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The axion or axion-like particle motivated from a natural solution of strongCP problem or string theory is a promising dark matter candidate. We study thenew observational effects of ultralight axion-like particles by the space-bornegravitational wave detector and the radio telescope. Taking the neutronstar-black hole binary as an example, we demonstrate that the gravitationalwaveform could be obviously modified by the slow depletion of the axion cloudaround the black hole formed through the superradiance process. We comparethese new effects on the binary with the well-studied effects from dynamicalfriction with dark matter and dipole radiation in model-independent ways.Finally, we discuss the constraints from LIGO/Virgo and study the detectabilityof the ultralight axion particles at LISA and TianQin.

Imprints of ultralight axions on the gravitational wave and pulsar timing measurement