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In this paper we present a class of models in order to explain the productionof Primordial Black Holes (PBHs) and Gravitational Waves (GWs) in the Universe.These models are based on no-scale theory. By breaking theSU(2,1)/SU(2)$\times$U(1) symmetry we fix one of the two chiral fields and wederive effective scalar potentials which are capable of generating PBHs andGWs. As it is known in the literature there is an important unification of theno-scale models, which leads to the Starobinsky effective scalar potentialbased on the coset SU(2,1)/SU(2)$\times$U(1). We use this unification in orderto additionally explain the generation of PBHs and GWs. Concretely, we modifywell-known superpotentials, which reduce to Starobinsky-like effective scalarpotentials. Thus, we derive scalar potentials which, on the one hand, explainthe production of PBHs and GWs and, on the other hand, they conserve thetransformation laws, which yield from the parametrization of the cosetSU(2,1)/SU(2)$\times$U(1) as well as the unification between the models whichare yielded this coset. We numerically evaluate the scalar power spectra withthe effective scalar potential based on this theory. Furthermore, we evaluatethe fractional abundances of PBHs by comparing two methods the Press-Schechterapproach and the peak theory, while focusing on explaining the dark matter inthe Universe. By using the resulting scalar power spectrum we evaluate theamount of GWs. All models are in complete consistence with Planck constraints.

Primordial Black Holes And Gravitational Waves Based On No-Scale Supergravity