... neutrinos[*]
Appendices A and B and all their figures are only available at http://www.edpsciences.org
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... verified[*]
Note that the more familiar result $R^2{\rm e}^{2\Phi}H(R)={\rm const.}$ only holds for the total (i.e. energy integrated) "flux density'' $H(R):=\int H(R,\epsilon)~{\rm d}\epsilon=
{\rm e}^{-\Phi}\int H(R,\epsilon_\infty)~{\rm d}\epsilon_\infty$.
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... read[*]
We assume spherical symmetry, which implies that the neutrino distribution functions entering Eq. (A.6) are independent of the angle $\varphi'$.
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Copyright ESO 2002