Research Article

Minisuperspace description for inhomogeneous cosmological models and the role of the Lie symmetries

Published in: Quaestiones Mathematicae
Volume 48 , issue 2 , 2025 , pages: 215–228

DOI: 10.2989/16073606.2024.2392637

Author(s): Andronikos Paliathanasis Institute of Systems Science, Durban University of Technology, South Africa

Keywords: 35C06 , 35B06 , 37C79 , 83C45 , Minisuperspace description , inhomogeneous cosmology , Lie symmetries , quantum cosmology

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Abstract

We explore the application of Lie symmetries to simplify the gravitational field equations of inhomogeneous cosmology. By employing these symmetries, we demonstrate the construction of a point-like Lagrangian and establish the existence of a minisuperspace description. Finally we show how the Lie symmetries can be applied to construct new solutions for the Wheeler-DeWitt equation.

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