Classical and quantum exact solutions for a FRW multi-scalar field cosmology with an exponential potential driven inflation

Abstract

A flat Fiedmann-Robertson-Walker (FRW) multi-scalar field cosmology is studied with a particular potential of the form $\mathrm{V}(\varphi ,\sigma )={\mathrm{V}}_0{\mathrm{e}}^{-{\lambda }_1\varphi -{\lambda }_2\sigma }$, which emerges as a relation between the time derivatives of the scalars field momenta. Classically, by employing the Hamiltonian formalism of two scalar fields $(\varphi ,\sigma )$ with standard kinetic energy, exact solutions are found for the Einstein-Klein-Gordon (EKG) system for different scenarios specified by the parameter ${\lambda }^2={\lambda }_1^2+{\lambda }_2^2$, as well as the e-folding function ${\mathrm{N}}_{\mathrm{e}}$ which is also computed. For the quantum scheme of this model, the corresponding Wheeler-DeWitt (WDW) equation is solved by applying an appropriate change of variables.

arXiv commentLatex file, accepted in Advances and Mathematical physics, Hindawi. arXiv admin note: text overlap with arXiv:1806.01190

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Cited by in corpus (4)

• Classical and quantum exact solutions for a FRW in chiral like cosmology
• Quintom fields from chiral K-essence cosmology
• Anisotropic chiral cosmology: exact solutions
• Quintom fields from chiral anisotropic cosmology