2017/04/17 by Omar E. Núñez, Núñez, Omar E., J. Socorro +3
Computer Science · Physics and Astronomy · #83F05 #Black Holes and Theoretical Physics #Computational Physics and Python Applications #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)
paper · pdf · doi:10.48550/arxiv.1704.05153
openalex publication_date 2017/04/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Friedmann-Robertson-Walker (FRW) cosmology is analyzed with a particular potential \rm V(ϕ)=V0 e-√(3) ϕ in the quintessence field scenario, which emerges in the supersymmetric quantum mechanics (SUSY) formalism. Using Hamilton's approach for a scalar field ϕ with standard kinetic energy, and the Hamilton equations, we find exact solutions to the complete set of the Einstein-Klein-Gordon equations without the need of the slow-roll conditions in order to model the inflation phenomenon. We find that the solutions are in good agreement with the inflationary conditions such as the e-folding function \cal N which corresponds to the Ω function in the Misner parametrization for the scale factor \rm A(t)=eΩ(t) when evaluated in \rm Δt, which is the time interval for the inflation period. The acceleration of the scale factor was computed and it was found to be positive for the inflation period with a range of values for the parameters of the model. Quantum solution from the Wheeler-DeWitt equation is presented, where the wave function in relation to the evolution of the scale factor, shows that for this period of time at larger values of \rm A and for any value of scalar-field \rm φ, the wave function is peaked.