  Stars that evolve near the Galactic massive black hole show strange
behaviors. The spectroscopic features of these stars show that they must be
old. But their luminosities are much higher than the amounts that are predicted
by the current stellar evolutionary models, which means that they must be
active and young stars. In fact this group of stars shows signatures of old and
young stars, simultaneously. This is a paradox known as the "paradox of youth
problem" (PYP). Some people tried to solve the PYP without supposing dark
matter effects on stars. But, in this work, we implemented Weakly Interacting
Massive Particles (WIMPs) annihilation as a new source of energy inside such
stars. This implementation is logical for stars that evolve at high dark matter
density environments. The new source of energy causes stars to follow different
evolutionary paths on the H-R diagram in comparison with classical stellar
evolutionary models. Increasing dark matter density in stellar evolutionary
simulations causes the deviations from the standard H-R diagrams becomes more
pronounced. By investigating the effects of WIMPs density on stellar structures
and evolutions, we concluded that by considering dark matter effects on stars
at the Galactic center, it is possible to solve the PYP. In addition to dark
matter effect, complete solutions to PYP must consider all extreme and unique
physical conditions that are present near the Galactic massive black hole.
