Minisuperspace description of $f(Q)$-cosmology

Author:

A. Paliathanasis, N. Dimakis, T. Christodoulakis

Keyword:

General Relativity and Quantum Cosmology, General Relativity and Quantum Cosmology (gr-qc), High Energy Physics - Theory (hep-th)

journal:

date:

2023-08-28 16:00:00

Abstract

We investigate the existence of minisuperspace description for the homogeneous cosmological field equations within the framework of symmetric teleparallel $f(Q)$-gravity. We consider the background space to be described by the isotropic Friedmann-Lema\^{\i}tre-Robertson-Walker geometry, the anisotropic Kantowski-Sachs and the anisotropic Bianchi III geometries. Across all these models, we establish that the field equations in $f(Q)$-gravity exhibit second-order characteristics in the coincidence gauge and sixth-order characteristics in the non-coincidence gauge. Specifically, within the latter scenario, the dynamic degrees of freedom are attributed to two scalar fields. Finally, as an example of integrability, we derive a vacuum cosmological solution within the non-coincidence gauge.

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