Primordial Black Holes and Cosmological Phase Transitions Report ...

PBHs and Cosmological Phase Transitions 179
log 10Βtk
0
-5
-10
-15
-20
-25
n1.30, log 10t1s17
-22 -20 -18 -16 -14 -12 -10
log10 tk
1 s
Figure 94: In a radiation–dominated universe with a running–tilt power spectrum,
we cannot have n+ =1.30 together with t+ = 10 −17 s since the curve
β(tk) – black – does not respect the observational constraints (maroon).
log 10Βtk
0
-20
-40
-60
-80
-22 -20 -18 -16 -14 -12 -10
log10 tk
1 s
Figure 95: The fraction of the universe going into PBHs for a radiation–
dominated universe with a running–tilt power spectrum with n+ =1.30 and
(from left to right): t+ = 10 −16 s, t+ = 10 −15 s, t+ = 10 −14 s, t+ = 10 −13 s,
t+ = 10 −12 s, and t+ = 10 −11 s.