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Classical and quantum cosmology in $f (T)$ -gravity theory: A Noether symmetry approach

Roshni Bhaumik

Department of Mathematics, Jadavpur University, Kolkata 700032, West Bengal, India

E-mail Address: roshnibhaumik1995@gmail.com

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Sourav Dutta

Department of Mathematics, Dr. Meghnad Saha College, Itahar, Uttar Dinajpur 733128, West Bengal, India

E-mail Address: sduttaju@gmail.com

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, and

Subenoy Chakraborty

https://orcid.org/0000-0002-3881-8022

Department of Mathematics, Jadavpur University, Kolkata 700032, West Bengal, India

E-mail Address: schakraborty.math@gmail.com

Corresponding author.

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https://doi.org/10.1142/S021988782250027XCited by:2 (Source: Crossref)

Abstract

In the framework of $f (T)$ -gravity theory, classical and quantum cosmology has been studied in this work for Friedmann Lemaitre Robertson Walker Metric (FLRW) space-time model. The Noether symmetry, a point-like symmetry of the Lagrangian, is used to the physical system and a specific functional form of $f (T)$ is determined. A point transformation in the 2D augmented space restricts one of the variables to be cyclic so that the Lagrangian as well as the field equations are simplified so that they are solvable. Lastly, for quantum cosmology, the WD equation is constructed and a possible solution has been evaluated.

Keywords:

AMSC: 83FXX

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