Time Delay Anomalies of Fuzzy Gravitational Lenses
arxiv(2024)
摘要
Fuzzy dark matter is a promising alternative to the standard cold dark
matter. It has quite recently been noticed, that they can not only successfully
explain the large-scale structure in the Universe, but can also solve problems
of position and flux anomalies in galaxy strong lensing systems. In this paper
we focus on the perturbation of time delays in strong lensing systems caused by
fuzzy dark matter, thus making an important extension of previous works. We
select a specific system HS 0810+2554 for the study of time delay anomalies.
Then, based on the nature of the fuzzy dark matter fluctuations, we obtain
theoretical relationship between the magnitude of the perturbation caused by
fuzzy dark matter, its content in the galaxy, and its de Broglie wavelength
λ _dB. It turns out that, the perturbation of strong lensing
time delays due to fuzzy dark matter quantified as standard deviation is
σ_Δ t∝λ _dB^1.5. We also verify our
results through simulations. Relatively strong fuzzy dark matter fluctuations
in a lensing galaxy make it possible to to destroy the topological structure of
the lens system and change the arrival order between the saddle point and the
minimum point in the time delays surface. Finally, we stress the unique
opportunity for studying properties of fuzzy dark matter created by possible
precise time delay measurements from strongly lensed transients like fast radio
bursts, supernovae or gravitational wave signals.
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