Classical and Quantum Cosmology in Einstein-aether Scalar-tensor gravity: Noether Symmetry Analysis
Dipanakr Laya, Roshni Bhaumik, Sourav Dutta, Subenoy Chakraborty

TL;DR
This paper explores Einstein-aether scalar-tensor gravity in flat FLRW cosmology, using Noether symmetry to find solutions and analyzing their observational and quantum cosmological implications.
Contribution
It introduces a Noether symmetry approach to solve Einstein-aether scalar-tensor cosmology and investigates both classical and quantum solutions.
Findings
Cosmological solutions consistent with observations.
Quantum wave functions with periodic properties.
Identification of conserved charges via Noether symmetry.
Abstract
The present work deals with Einstein-aether Scalar tensor gravity in the background of homogeneous and isotropic flat FLRW space-time model. The Noether symmetry vector identifies a transformation in the augmented space so that the field equations become solvable. The cosmological solutions are analyzed from the observational point of view. Finally, for quantum cosmology, the Wheeler-DeWitt (WD) has been formulated and solutions have been determined by identifying the periodic nature of the wave function using conserved (Noether) charge.
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