English

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

General Relativity and Quantum Cosmology 2023-03-15 v1

Abstract

In the framework of f(T)f(T)-gravity theory, classical and quantum cosmology has been studied in the present work for 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)f(T) is determined. A point transformation in the 2D augmented space restricts one of the variable 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 possible solution has been evaluated.

Keywords

Cite

@article{arxiv.2303.07766,
  title  = {Classical and quantum cosmology in $f(T)$-gravity theory: A Noether symmetry approach},
  author = {Roshni Bhaumik and Sourav Dutta and Subenoy Chakraborty},
  journal= {arXiv preprint arXiv:2303.07766},
  year   = {2023}
}

Comments

15 pages, 2 figures