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2022

Periapsis shifts in dark matter distribution with a dense core

Igata, Takahisa, Takamori, Yohsuke

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We consider the periapsis shifts in dark matter distribution with a dense core.

We model the dark matter distribution as an isotropic gas sphere, the Emden polytropic sphere of index 5 in general relativity.
This model has a parameter range where all the energy conditions are satisfied in the entire region.
Within the parameter range, the asymptotic analysis for stellar motion allows us to identify two competing effects on the bounded motion: the general-relativistic effect and a local-density effect of matter.

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