Non-minimally coupled scalar field in Kantowski–Sachs model and symmetry analysis

Journal Article · Fri Jun 15 04:00:00 EDT 2018 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2018.04.007· OSTI ID:22852247

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

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1. Department of Pure Mathematics, Ballygunge Science College, University of Calcutta, 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 paper deals with a non-minimally coupled scalar field in the background of homogeneous but anisotropic Kantowski–Sachs space–time model. The form of the coupling function of the scalar field with gravity and the potential function of the scalar field are not assumed phenomenologically, rather they are evaluated by imposing Noether symmetry to the Lagrangian of the present physical system. The physical system gets considerable mathematical simplification by a suitable transformation of the augmented variables (a,b,ϕ)→(u,v,w) and by the use of the conserved quantities due to the geometrical symmetry. Finally, cosmological solutions are evaluated and analyzed from the point of view of the present evolution of the Universe.

• OSTI ID: 22852247
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 393; ISSN APNYA6; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
ANISOTROPY
GRAVITATION
LAGRANGIAN FUNCTION
MATHEMATICAL SOLUTIONS
SCALAR FIELDS
SYMMETRY
TRANSFORMATIONS
UNIVERSE