Gravitational frequency shift of light signals in a pulsating dark matter halo
Vladimir A. Koutvitsky, Eugene M. Maslov

TL;DR
This paper derives formulas for the gravitational frequency shift of light signals in a pulsating dark matter halo, focusing on scalar dark matter with a logarithmic potential, to understand how oscillations affect light frequency.
Contribution
It provides explicit formulas for frequency shifts in a non-static, spherically symmetric dark matter distribution with oscillating scalar fields, a novel analysis for such systems.
Findings
Explicit formulas for frequency ratios in pulsating dark matter halos
Analysis of scalar dark matter with logarithmic potential
Insights into gravitational effects on light in dynamic dark matter environments
Abstract
The gravitational frequency shift of light signals from the center of a spherically symmetric non-static matter distribution is considered. Explicit formulas for the ratio of the emitted and received frequencies are obtained in the case of the oscillating scalar dark matter with logarithmic potential.
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