Chaotic orbital dynamics of pulsating objects in dark matter halos

Stellar pulsation is nowadays a widely understood subject. However, there has been no research about the effects of pulsations on the star's orbital dynamics throughout the galaxy. We investigate whether these oscillations can cause chaotic behaviour in the stellar orbit if it is immersed in background dark matter halos. We show that for a certain range of parameters of the pulsating object these effects are present in a general background matter field. However, for the typical range of parameters of realistic astrophysical scenarios, these effects are too small to be detectable.Comment: 6 pages, 4 figure