Quantum cosmology for non-minimally coupled scalar field in FLRW space–time: A symmetry analysis

Journal Article · Thu Aug 15 04:00:00 EDT 2019 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2019.04.012· OSTI ID:22848421

Dutta, Sourav ^[1]; Lakshmanan, Muthusamy ^[2]; Chakraborty, Subenoy ^[3]

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1. Department of Pure Mathematics, University of Calcutta, Ballygunge Science College, 35, Ballygunge Circular Rd, Ballygunge, Kolkata, West Bengal 700019 (India)
2. Centre for Nonlinear Dynamics, Bharathidasan University, Tiruchirapalli 620 024 (India)
3. Department of Mathematics, Jadavpur University, Kolkata 700032, West Bengal (India)

The present work deals with quantum cosmology for non-minimally coupled scalar field in the background of FLRW space–time model. The Wheeler–DeWitt equation is constructed and symmetry analysis is carried out. The Lie point symmetries are related to the conformal algebra of the minisuperspace while solution of the Wheeler–DeWitt equation is obtained using conserved currents of the Noether symmetries.

• OSTI ID: 22848421
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 407; ISSN APNYA6; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EQUATIONS
QUANTUM COSMOLOGY
SCALAR FIELDS
SPACE-TIME
SYMMETRY