Research Article

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

Published in: Quaestiones Mathematicae
Volume 48 , issue 2 : Entrepreneurship and Africa’s Cultural Context , 2024 , 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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