Primordial Black Holes and Cosmological Phase Transitions Report ...

PBHs and Cosmological Phase Transitions 181
Table 42: The cases for which β> 10−100 for a radiation–dominated Universe with a running–tilt power law spectrum. Here
nmax represents the maximum value of the spectral index n(k), and t+ gives the location of that maximum (see Section 10).
In cyan we show the cases for which β(tk) ≈ 0 and in red the cases for which β(tk) exceeds the observational constraints
(cf. Figure 93). The cases suitable for PBH production are marked by ‘R’ and in white. In gray we show the cases for which
β(tk) crosses the ≈ 10 10M⊙ line.
nmax
log10(t+/1s) 1.20 1.22 1.24 1.26 1.28 1.30 1.32 1.34 1.36 1.38 1.40 1.42 1.44 1.46 1.48 1.50 1.52 1.54 1.56 1.58 1.60 1.62 1.64 1.66 1.68 1.70 1.72 1.74 1.76 1.78 1.80 1.82 1.84 1.86 1.88 1.90 1.92 1.94 1.96 1.98 2.00
-23 R R
-22 R R
-21 R R
-20 R
-19 R R
-18 R R R
-17 R R Fig. 94
-16 R R R
Fig. 95
-15 R R
Fig. 95
-14 R R R
Fig. 95
-13 R R R
Fig. 95
-12 R R R
Fig. 95
-11 R R R R
Fig. 95
-10 Fig. 96 R R R
-9 R R R
-8 R R R R
-7 R R R R
-6 R R R R
-5 R R R R
-4 R R R R R R
-3 R R R R R R
-2 R R R R R R
-1 R R R R R R R
0 R R R R R R R R
1 R R R R R R R R R
2 R R R R R R R R R R
3 R R R R R R R R R R R
4 R R R R R R R R R R R R R
Fig. 97
5 R R R R R R R R R R R R R R R
Fig. 98
6 R R R R R R R R R R R
7 R R R R R R R
Fig. 99
8 R R
9