On Einstein clusters as galactic dark matter haloes
By Christian G. Böhmer, Tiberiu Harko. 2007
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We consider global and gravitational lensing properties of the recently suggested Einstein clusters of weakly interacting massive particles (WIMPs) as galactic dark matter haloes. Being tangential pressure dominated, Einstein clusters are strongly anisotropic systems which can describe any galactic rotation curve by specifying the anisotropy. Due to this property, Einstein clusters may be considered as dark matter candidates. We analyse the stability of the Einstein clusters against both radial and non-radial pulsations, and we show that the Einstein clusters are dynamically stable. With the use of the Buchdahl type inequalities for anisotropic bodies, we derive upper limits on the velocity of the particles defining the cluster. These limits are consistent with those obtained from stability considerations. The study of light deflection shows that the gravitational lensing effect is slightly smaller for the Einstein clusters as compared to the singular isothermal density sphere model for dark matter. Therefore, lensing observations may discriminate, at least, in principle, between Einstein cluster and the other dark matter models.
Subfields: Astronomy and Astrophysics, Statistical and Nonlinear Physics
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Citations in the corpus
- Evolution of cosmological perturbations in Bose–Einstein condensate dark matter (2011, methodology): “The density distribution ρBE of the static gravitationally bounded single component dark matter Bose-Einstein condensate is given by (Boehmer & Harko 2007) ρBE (r) = ρ (c) BE sin kr kr (16) where k = √ Gm3/h̄2la and ρ (c) BE is the central density of the condensate, ρ (c) BE = ρBE(0).”