This theoretical project relates to a modified Hawking field which unifies the gravity with electricity in a cosmological level. Quantum is present through the limits of the energies such as Plank mass. The Hawking theory includes, apart from the quantum and the relativity the thermodynamical analysis. Thus the Hawking field has probabilities of being tested in the laboratory of the microparticles and in macroscopical astronomical observations.The spinning of the stars and the temperatures of the cores can assure the existence of this field. Further research is demanded though, especially about the spinning of the stars and the fitting equations. The modification of Hawking mass is necessary for the supporters of this theory. In this model there is a modification of the Hawking- Plank mass, because it fits with the energies of the atomic and subatomic particles and explains the phenomenon of the microwave background radiation. The model is cosmological with astronomical approaches.