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Fig. 9.

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Integrated stellar density (color-encoded) at r1 = 0. Shown is log10[ρGSL*(0) kg−1m3] versus β 0 $ \tilde{\beta}_0 $ and log10(r2). The reported values for ρ*(0) are located between the two red contour lines. The ρGSL*(0) had been evaluated using the last line of Eq. (90). For r2 = 1, the expression (110) could be used. The values of ρGSL*(0) at the uppermost value r2 = 103 basically agree with the analytic expression ρ GSL ( 0 ) = 4.0 · 10 29 h 7 8 / 3 β 0 2 / 3 $ \rho_{\mathrm{GSL}}^*(0) = 4.0\cdot 10^{-29} \,h_{7}^{8/3} \tilde{\beta}_0^{-2/3} $ kg m−3, which follows from Eq. (117).

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