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

Author:

Bhaumik Roshni1,Dutta Sourav2,Chakraborty Subenoy1ORCID

Affiliation:

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

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

Abstract

In the framework of [Formula: see text]-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 [Formula: see text] 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.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Physics and Astronomy (miscellaneous)

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