Primordial Black Holes and Cosmological Phase Transitions Report ...

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$Kawasaki dynamic in continuum Math. Encounters XXXV ... - CCM$

PBHs and Cosmological Phase Transitions 180 log 10Βtk 0 -25 -50 -75 -100 -125 -150 -175 n1.30, log 10t1s10 -15 -14 -13 -12 -11 -10 -9 -8 log10 tk 1 s Figure 96: The fraction of the universe going into PBHs for a radiation– dominated universe with a running–tilt power spectrum with n+ =1.30 and t+ = 10 −10 s. log 10Βtk 0 -20 -40 -60 -80 n1.84, log 10t1s4 2 3 4 5 6 log10 tk 1 s Figure 97: The fraction of the universe going into PBHs in a radiation– dominated universe with a running–tilt power spectrum when n+ =1.84 and t+ = 10 4 s. Some values go over the ∼ 10 10 M⊙ line (cf. Figure 93).
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
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CCM-Centro de Ciências Matemática
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Contents List of Figures vii List o
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PBHs and Cosmological Phase Transit
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List of Tables 1 The Universe timel
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Page 221 and 222: Table 49 (continued). PBHs and Cosm
Page 223 and 224: Table 49 (continued). Radiation EW
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