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

Abstract

In the framework of $f(T)$-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 $f(T)$ 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.

15 pages, 2 figures

References in corpus (17)

• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• Nonminimal torsion-matter coupling extension of f(T) gravity
• Using the Noether symmetry approach to probe the nature of dark energy
• Generalized Second Law of Thermodynamics in $f(T)$ Gravity with Entropy Corrections
• Noether symmetry in $f(R)$ cosmology
• Lie and Noether symmetries of geodesic equations and collineations
• Two dimensional dynamical systems which admit Lie and Noether symmetries
• Interacting Dark Energy in f(T) cosmology : A Dynamical System analysis
• Equivalence between Palatini and metric formalisms of f(R)-gravity by divergence free current
• Dynamical symmetries and observational constraints in scalar field cosmology
• Cosmic evolution in f(T) gravity theory
• Quintom cosmological model and some possible solutions using Lie and Noether symmetries
• Quantum cosmology with symmetry analysis for quintom dark energy model
• Quantum cosmology for non-minimally coupled scalar field in FLRW space-time: A symmetry analysis

Cited by in corpus (1)

• Barrow Holographic Dark Energy in Brane World Cosmology