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 132 ∆ ∆ ∆ 1.4 1.2 1 0.8 0.6 0.4 0.2 1.4 1.2 0.8 0.6 0.4 0.2 a ∆1 E C B 0 0 0.2 0.4 0.6 0.8 ∆ b 1 1.2 1.4 1 1.4 1.2 0.8 0.6 0.4 0.2 ∆1 E C B 0 0 0.2 0.4 0.6 0.8 ∆ c 1 1.2 1.4 1 0 E ∆1 0 0.2 0.4 0.6 0.8 1 1.2 1.4 ∆ Figure 56: PBH formation during the QCD transition according to the Bag Model for the cases: (a) x =0.927, (b) x =0.6, and (c) x =0.308 with δc =1/3 for all the three cases. The solid curve corresponds to the function (1 − f)δc and the dashed curve corresponds to the identity δ. The borders between the different classes are given by: (a) δCE ≈ 0.079, δBC ≈ 0.94; (b) δCE ≈ 0.67, δBC ≈ 1.26; and (c) δCE ≈ 2.24 (not shown). The new threshold for BH formation is: (a) δc1 ≈ 0.28, (b) δc1 ≈ 0.29, and (c) δc1 ≈ 0.30.
PBHs and Cosmological Phase Transitions 133 ∆ 0.5 0.4 0.3 0.2 0.1 x0.308 x0.6 x0.927 ∆c1 BH formation No BH formation 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 x Figure 57: The curve in the (x, δ) plane indicating which parameter values lead to collapse to a BH, within the QCD Bag Model, in the case y −1
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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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Table 49 (continued). PBHs and Cosm
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Table 49 (continued). Radiation EW
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