Producing PBHs and Gravitational Waves by breaking the SU(2,1)/SU(2)xU(1) Symmetry

Abstract: We present a class of models in order to explaining the generation of Primordial Black Holes (PBHs) and Gravitational Waves (GWs) in the Universe. These models are based on no-scale theory. By breaking the SU(2,1)/SU(2)×U(1) symmetry we fix one of the two chiral fields and we derive effective scalar potentials which are capable of generating PBHs and GWs. Thus, we derive scalar potentials which, on the one hand, explain the production of PBHs and GWs and, on the other hand, they conserve the transformation laws, which yield from the parametrization of the coset SU(2,1)/SU(2)×U(1) as well as they conserve the unification between the models which yield by this coset. Moreover, we generate PBHs by modifying the kinetic term of the Langrangian (or the Kahler potential) and we keep the superpotentials unmodified. Furthermore, we evaluate the fractional abundances of PBHs in radiation dominated era by using and comparing two methods the Press–Schechter approach and the peak theory, while focusing on explaining the dark matter in the Universe. By using the resulting scalar power spectrum we evaluate the amount of GWs during the radiation epoch. All proposed models are in complete consistence with Planck constraints.

general relativity and quantum cosmologyHEP - latticeHEP - phenomenologyHEP - theorymathematical physics

Audience: researchers in the topic

High Energy Theory, Gravity and Cosmology Seminars @ NTUA