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Author

Tonghua Liu

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Open access Nov 2026

Relative amplitudes of strongly lensed LISA binaries as probes of galaxy-lens potentials

Strongly lensed gravitational waves (GWs) provide precise time-delay measurements. Inferring the Hubble constant, H_0, also requires the corresponding Fermat-potential differences. We investigated whether the relative amplitudes of lensed massive black hole binaries observed by the Laser Interferometer Space Antenna (L...

Tong-Hua Liu, Cheng-Gang Shao, You-Kai Li et al. · 0 citations
Preprint Sep 2026

Gravitational-Wave Image Multiplicity as a Topological Probe of Dark-Matter Core Collapse

Dark-matter self-interactions can drive subhalos through gravothermal core collapse, but conventional lensing observables vary continuously with uncertain inner profiles. We show that gravitational-wave image multiplicity provides a discrete alternative. Near a macro-critical minimum, increasing subhalo central converg...

Tong-Hua Liu, Kai Liao, Marek Biesiada et al. · 0 citations
Preprint Jul 2026

Probing Dark Matter Substructure with Wave-Optics Distortions of Strongly Lensed LISA Gravitational Waves

Strong lensing changes the phase of a gravitational-wave signal as well as its amplitude and arrival time. We study whether this phase information can distinguish between three dark-matter structures in the lens: a Navarro--Frenk--White halo (NFW), a self-interacting dark matter (SIDM) halo, and a fuzzy-dark-matter fie...

Tong-Hua Liu, Kai Liao, Marek Biesiada et al. · 1 citation

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