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

Physics Letters B

Rafael Hernández-Jiménez¹  Omar E. Núñez²  J. Socorro² 

[1] Corresponding author.;Departamento de Física, DCeI, Universidad de Guanajuato-Campus León, C.P. 37150, León, Guanajuato, México;

关键词: Exact solutions;    Inflation;    Quantum and classical cosmology;    Anisotropic models;   

DOI  :  

来源: DOAJ

【 摘 要 】

The anisotropic Bianchi type I in multi-scalar field cosmology is studied with a particular potential of the form V=V0e−[λ1ϕ1+⋯+λnϕn], 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 λ2=∑i=1nλi2. 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.

【 授权许可】

Unknown