期刊
ASTROPHYSICS AND SPACE SCIENCE
卷 364, 期 4, 页码 -出版社
SPRINGER
DOI: 10.1007/s10509-019-3558-4
关键词
Inflation; Exact solutions; Quantum and classical cosmology; Observational parameters
资金
- CONACyT
- CONACYT [167335, 179881]
- PROMEP grants UGTO-CA-3
The Friedmann-Robertson-Walker (FRW) cosmology is analyzed with a general potential V(phi) in the scalar field inflation scenario. The Bohmian approach (aWKB-like formalism) was employed in order to constraint a generic form of potential to the most suited to drive inflation, from here a family of potentials emerges; in particular we select an exponential potential as the first non trivial case and remains the object of interest of this work. The solution to the Wheeler-DeWitt (WDW) equation is also obtained for the selected potential in this scheme. Using Hamilton's approach and equations of motion for a scalar field phi with standard kinetic energy, we find the exact solutions to the complete set of Einstein-Klein-Gordon (EKG) equations without the need of the slow-roll approximation (SR). In order to contrast this model with observational data (Akrami etal. 2018, arXiv:1807.06211, (Planck Collaboration) results), the inflationary observables: the tensor-to-scalar ratio and the scalar spectral index are derived in our proper time, and then evaluated under the proper condition such as the number of e-folding corresponds exactly at 50-60 before inflation ends. The employed method exhibits a remarkable simplicity with rather interesting applications in the near future.
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