A study of classical and quantum cosmology in modified teleparallel gravity and the role of Noether symmetry

Dipankar Laya; Shriton Hembrom; Sourav Dutta; Subenoy Chakraborty

doi:10.1140/epjc/s10052-025-13812-y

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2025) 85: 58
https://doi.org/10.1140/epjc/s10052-025-13812-y

Regular Article - Theoretical Physics

A study of classical and quantum cosmology in modified teleparallel gravity and the role of Noether symmetry

Dipankar Laya¹, Shriton Hembrom¹, Sourav Dutta²^a and Subenoy Chakraborty³

¹ Department of Mathematics, Jadavpur University, 700032, Kolkata, West Bengal, India
² Department of Mathematics, Dr. Meghnad Saha College, Itahar, 733128, Uttar Dinajpur, West Bengal, India
³ Department of Mathematics, Brainware University, Barasat, Kolkata, West Bengal, India

^a sduttaju@gmail.com

Received: 22 September 2024
Accepted: 10 January 2025
Published online: 23 January 2025

Abstract

The present work deals with Noether symmetry approach in a modified teleparallel gravity for classical quantum cosmological description. In the background of homogeneous and isotropic flat Friedmann–Lema $\hat{i}$ $\hat{\text{ i }}$ tre–Robertson–Walker (FLRW) model, the Noether symmetry vector with the associated conserved charge identifies a cyclic variable so that the modified Einstein field equations get simplified and becomes solvable in the present model. In quantum cosmology, the operator version of the conserved associated momentum identifies the oscillatory part of the wave function and consequently it is possible to have the complete wave as the solution of the Wheeler–DeWitt (WD) equation. Finally, it has been examined whether classical singularity can be avoided or not by quantum description.

© The Author(s) 2025

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