Cosmological Bianchi Class A Models in Sáez-Ballester Theory

Quintom Potential from Quantum Anisotropic Cosmological Models

“…In summary, we presented the corresponding Einstein Klein Gordon equation for the quintom model, which is applied to the Bianchi Type I cosmological model including as a matter content a barotropic perfect fluid and cosmological constant, and the classical solutions are given in a quadrature form for null and constant scalar potentials, these solutions are related to the Sáez-Ballester formalism, [35][36][37][38].…”

“…For particular values in the γ parameter, the equation (30) has a solution. This formalism was studied by one of the author and collaborators, in the FRW and Bianchi type Class A cosmological models, [36][37][38].…”

Quintom Potentials from Quantum Cosmology Using the FRW Cosmological Model

“…Employing the equations (38) and (39), we choose this value before to realize the integration, obtaining ∆Ω ± 3…”

“…We presented the corresponding Einstein Klein Gordon equation for the quintom model, which is applied to the FRW cosmological model with a barotropic perfect fluid and cosmological constant as the matter content; the classical solutions are given in a quadrature form for constant scalar potentials, in an inflationary stage (p = −ρ) these solutions are related to the Sáez-Ballester formalism, [36][37][38][39]. For the inflationary stage with a potential that is a product of exponentials of the fields we found two exact solutions, one with a potential expansion law and the other with an exponential one.…”

“…For one scalar field, with constant potential, the formalism is like the one formulated by Sáez and Ballester in 1986, because both field are equivalent, see equations (14,15) [36]. This formalism was studied by one of the author and collaborators, in the FRW and Bianchi type Class A cosmological models, [37][38][39].…”