Classical and quantum bicosmology with noncommutativity

Autor: Nahomi Kan, Takuma Aoyama, Kiyoshi Shiraishi
Rok vydání: 2022
Předmět:
Zdroj: Classical and Quantum Gravity. 40:015010
ISSN: 1361-6382
0264-9381
DOI: 10.1088/1361-6382/aca868
Popis: Recently, Falomir, Gamboa, Mendez, Gondolo and Maldonado proposed a bicosmology scenario [1-4] for solving some cosmological problems related to inflation, dark matter, and thermal history of the universe. Their plan is to introduce noncommutativity into the momentum space of the two scale factors. In the present paper, we revisit their model and first consider exact classical solutions in the model with constant noncommutativity between dynamical variables and between canonical momenta. We also hypothesize that the noncommutativity appears when the scale factors are small, and show the behavior of the classical solution in that case with momentum-space noncommutativity. Finally, we write down the Wheeler-DeWitt equation in that case and examine the behavior of the solution.
19 pages, 15 figures. Revised version
Databáze: OpenAIRE