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We study the gravitational effect of non-self-annihilating dark matter oncompact stellar objects. The self-interaction of condensate dark matter cangive high accretion rate of dark matter onto stars. Phase transition tocondensation state takes place when the dark matter density exceeds thecritical value. A compact degenerate dark matter core is developed and alterthe structure and stability of the stellar objects. Condensate dark matteradmixed neutron stars is studied through the two-fuid TOV equation. Theexistence of condensate dark matter deforms the mass-radius relation of neutronstars and lower their maximum baryonic masses and radii. The possible effectson the Gamma-ray Burst rate in high redshift are discussed.

Gravitational effects of condensate dark matter on compact stellar objects