The study explores the relationship between transverse and longitudinal modes in dark matter fields, demonstrating that gravitational dynamics lead to equipartition of power between them.
Our findings indicate that during dark matter halo formation, the non-linear interactions between coupled longitudinal and transverse modes result in virialization, affecting dark matter signal detection.
We propose that 2/3 of the total power resides in the transverse sector while 1/3 is in the longitudinal sector, shedding light on dark matter field behavior.
Utilizing the split-Fourier technique, simulations were conducted to analyze the Schrodinger-Poisson vector system, enhancing our understanding of dark matter signal likelihood and detection mechanisms.
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