https://doi.org/10.1140/epjc/s10052-022-10762-7
Regular Article - Theoretical Physics
Primordial black holes and gravitational waves in teleparallel Gravity
1
Quantum Physics and Magnetism Team, LPMC, Faculty of Science Ben M’sik, Casablanca Hassan II University, Casablanca, Morocco
2
Laboratory of Physics of Matter and Radiations, Mohammed first University, BP 717, Oujda, Morocco
Received:
4
July
2022
Accepted:
27
August
2022
Published online:
5
September
2022
In this paper, we consider the possible effect of the teleparallel gravity on the production of the primordial black holes (PBH) and on the gravitational waves (GWs). We investigate the relationship between the slow roll, the e-folds number and the teleparallel parameters. We show that in the case of the teleparallel parameter 
, the e-folds number reaches the values 50 and 60 in consistency with the contour plot of the 
plane obtained by Planck data at 
and 
C.L. Furthermore, we use the fraction of the energy density and the variance of the density perturbations approach to study the abundance of the production PBH. We find that the PBH overproduction can be satisfied for specific values of parameters of the non-adiabatic curvature power spectrum at some narrow parametric resonance. Moreover, to explain the GWs expected by observations, the duration of preheating should be bounded by values less or equal to 2. This bound is in agreement with values of the tensor-to-scalar ratio and the spectral index constrained by Planck data.
© The Author(s) 2022
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