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arxiv: 1904.00807 · v1 · pith:DBC6AWCSnew · submitted 2019-03-28 · 🌀 gr-qc

Classical and quantum exact solutions for the anisotropic Bianchi type I in multi-scalar field cosmology with an exponential potential driven inflation

J. Socorro , Omar E. N\'u\~nez , Rafael Hern\'andez-Jim\'enez This is my paper
classification 🌀 gr-qc
keywords lambdaanisotropicbianchicorrespondingcosmologyexactfieldinflation
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The anisotropic Bianchi type I in multi-scalar field cosmology is studied with a particular potential of the form $\rm V= V_0 e^{-\left[\lambda_1 \phi_1 + \cdots + \lambda_n \phi_n \right]}\,,$ which emerges as a condition between the time derivatives of their corresponding momenta. Using the Hamiltonian formalism for the inflation epoch with a quintessence framework we find the exact solutions for the Einstein-Klein-Gordon (EKG) system with different scenarios specified by the parameter $\rm \lambda^2= \sum_{i=1}^n \lambda_i^2$. For the quantum scheme of this model, the corresponding Wheeler-DeWitt (WDW) equation is solved by applying an appropriate change of variables and suitable ansatz.

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Cited by 2 Pith papers

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