(b) The dark matter halos which form in numerical simulations have density profiles, p(r). which are well approximated by a Navarro-Frenk-White (NFW) profile p(r) = Po (=) (¹ + # ) ² where r, is the radius at which d In p/d In r = -2 (i.e. pxr-2). Show that i) p(r) x r¹ for r
(b) The dark matter halos which form in numerical simulations have density profiles, p(r). which are well approximated by a Navarro-Frenk-White (NFW) profile p(r) = Po (=) (¹ + # ) ² where r, is the radius at which d In p/d In r = -2 (i.e. pxr-2). Show that i) p(r) x r¹ for r
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