Primordial Black Holes and Cosmological Phase Transitions Report ...

PBHs and Cosmological Phase Transitions viii
29 The sound speed for the QCD phase transition according to the
Bag Model. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81
30 The sound speed for the QCD phase transition according to the
Lattice Fit. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82
31 The sound speed for the QCD phase transition in the case of a
Crossover. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82
32 The width of the QCD Crossover in terms of temperature as a
function of the parameter ∆T . . . . . . . . . . . . . . . . . . . . 84
33 The width of the QCD Crossover in terms of time as a function
of the parameter ∆T . . . . . . . . . . . . . . . . . . . . . . . . . 85
34 Phase diagram for the EW phase transition. . . . . . . . . . . . . 87
35 The EW and QCD phase diagrams in terms of temperature and
the relevant chemical potentials. . . . . . . . . . . . . . . . . . . 88
36 Evolution of the Higgs scalar potential V for different values of
temperature. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91
37 The sound speed for the EW Crossover as a function of temperature. 94
38 The minimum value attained by the sound speed as a function of
the parameter ∆T (EW Crossover and QCD Crossover). . . . . . 95
39 The sound speed for the EW Crossover as a function of time. . . 95
40 The EoS with in the case of an EW first–order phase transition
and with two metastable branches. . . . . . . . . . . . . . . . . . 97
41 The sound speed for the EW phase transition according to the
Bag Model. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99
42 The sound speed during the electron–positron annihilation as a
function of temperature. . . . . . . . . . . . . . . . . . . . . . . . 104
43 The sound speed during the electron–positron annihilation as a
function of time. . . . . . . . . . . . . . . . . . . . . . . . . . . . 104
44 The function x(t) for the QCD Bag Model. . . . . . . . . . . . . 112
45 Regions in the (δ, log 10 x) plane corresponding to different classes
of perturbations for the QCD Bag Model. . . . . . . . . . . . . . 115
46 Regions in the (δ, log 10 x) plane corresponding to different classes
of perturbations for the QCD Lattice Fit. . . . . . . . . . . . . . 116
47 The function x(t) for the EW Bag Model. . . . . . . . . . . . . . 118
48 Formation of a PBH from a fluctuation for which δk =0.535. . . 123
49 A zoom into the upper left region of Figure 48. . . . . . . . . . . 123
50 PBH formation during the QCD transition according to the Bag
Model for the case x = 2 and δc =1/3. . . . . . . . . . . . . . . . 125
51 PBH formation during the QCD transition according to the Bag
Model for the cases x = 15, x = 30, and x = 90 when δc =1/3. . 127
52 The curve in the (x, δ) plane indicating which values lead to collapse
to a BH, according to the QCD Bag Model, when x>1
and δc =1/3. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129
53 PBH formation during the QCD transition, according to the Bag
Model, for the cases x = 2, x = 15, and x = 30 when δc assumes
different values. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130