Geodesic
Gravitational frequency shift of light signals in a~pulsating dark matter halo
Teoretičeskaâ i matematičeskaâ fizika, Tome 201 (2019) no. 3, pp. 440-445

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We study the gravitational frequency shift of light signals from the center of a spherically symmetric nonstatic matter distribution. In the case of oscillating scalar dark matter with a logarithmic potential, we obtain explicit formulas for the ratio of the emitted and received frequencies.
Keywords: dark matter halo, oscillating scalar field, nonstatic metric, red shift, blue shift. 
@article{TMF_2019_201_3_a9,
     author = {V. A. Koutvitsky and E. M. Maslov},
     title = {Gravitational frequency shift of light signals in a~pulsating dark matter halo},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {440--445},
     publisher = {mathdoc},
     volume = {201},
     number = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2019_201_3_a9/}
}
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V. A. Koutvitsky; E. M. Maslov. Gravitational frequency shift of light signals in a~pulsating dark matter halo. Teoretičeskaâ i matematičeskaâ fizika, Tome 201 (2019) no. 3, pp. 440-445. http://geodesic.mathdoc.fr/item/TMF_2019_201_3_a9/