Constraining $F(R)$ bouncing cosmologies with primordial black holes

Abstract

The phenomenology of primordial black hole (PBH) physics and the associated PBH abundance constraints, can be used in order to probe the physics of the early Universe. In this work, we investigate the PBH formation during the standard radiation-dominated era by studying the effect of an early F(R) modified gravity phase with a bouncing behavior which is introduced to avoid the initial spacetime singularity problem. In particular, we calculate the energy density power spectrum at horizon crossing time and then we extract the PBH abundance in the context of peak theory as a function of the parameter $\alpha$ of our $F(R)$ gravity bouncing model at hand. Interestingly, we find that in order to avoid GW overproduction from an early PBH dominated era before Big Bang Nucleosynthesis (BBN), $\alpha$ should lie within the range $\alpha \le 10^{-19}{M}_{\mathrm{Pl}}^2$. This constraint can be translated to a constraint on the energy scale at the onset of the Hot Big Bang (HBB) phase, $H_{\mathrm{RD}}\sim \sqrt{\alpha }/2$ which can be recast as $H_{\mathrm{RD}}<10^{-10}{M}_{\mathrm{Pl}}$.

To appear in Phys.Rev.D

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Cited by in corpus (12)

• Gravitational waves induced from primordial black hole fluctuations: The effect of an extended mass function
• Large fluctuations and Primordial Black Holes
• Obviating PBH overproduction for SIGWs generated by Pulsar Timing Arrays in loop corrected EFT of bounce
• Gravitational waves from burdened primordial black holes dark matter
• Regularized-Renormalized-Resummed loop corrected power spectrum of non-singular bounce with Primordial Black Hole formation
• Negative non-Gaussianity as a salvager for PBHs with PTAs in bounce
• Primordial Black Hole Formation in a Dust Bouncing Model
• Primordial black holes in SB SUSY Gauss-Bonnet inflation
• Revisiting primordial black holes formation from preheating instabilities: the case of Starobinsky inflation
• Universe bouncing its way to inflation
• Primordial black holes within Higgs hybrid metric-Palatini approach
• Stochastic gravitational wave background from the collisions of dark matter halos