TY - JOUR
T1 - Classical and quantum exact solutions for a FRW in chiral like cosmology
AU - Socorro, J.
AU - Pérez-Payán, Sinuhé
AU - Hernández-Jiménez, Rafael
AU - Espinoza-García, Abraham
AU - Díaz-Barrón, Luis Rey
N1 - Publisher Copyright:
© 2021 IOP Publishing Ltd.
PY - 2021/7
Y1 - 2021/7
N2 - In this work, first, we study a flat Friedmann–Robertson–Walker Universe with two scalar fields but only one potential term, which can be thought as a simple quintessence plus a K-essence model. Employing the Hamiltonian formalism we are able to obtain the classical and quantum solutions. The second model studied, is also a flat Friedmann–Robertson–Walker Universe with two scalar fields, with the difference that the two potentials are considered as well as the standard kinetic energy and the mixed term (chiral field approach). Regarding this second model, it is shown that setting to zero the coefficient accompanying the mixed momenta term, two possible cases can be studied: a quintom like case (m12+) and a quintessence like case (m12-). For both scenarios classical and quantum solutions are presented.
AB - In this work, first, we study a flat Friedmann–Robertson–Walker Universe with two scalar fields but only one potential term, which can be thought as a simple quintessence plus a K-essence model. Employing the Hamiltonian formalism we are able to obtain the classical and quantum solutions. The second model studied, is also a flat Friedmann–Robertson–Walker Universe with two scalar fields, with the difference that the two potentials are considered as well as the standard kinetic energy and the mixed term (chiral field approach). Regarding this second model, it is shown that setting to zero the coefficient accompanying the mixed momenta term, two possible cases can be studied: a quintom like case (m12+) and a quintessence like case (m12-). For both scenarios classical and quantum solutions are presented.
KW - Chiral cosmology
KW - Classical and quantum cosmology
KW - Exact solutions
UR - http://www.scopus.com/inward/record.url?scp=85107974313&partnerID=8YFLogxK
U2 - 10.1088/1361-6382/abfed7
DO - 10.1088/1361-6382/abfed7
M3 - Artículo
AN - SCOPUS:85107974313
SN - 0264-9381
VL - 38
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
IS - 13
M1 - 135027
ER -