Reconstructing isotropic and anisotropic $f(\mathcal{Q})$ cosmologies
Fabrizio Esposito, Sante Carloni, Roberto Cianci, Stefano Vignolo

TL;DR
This paper develops a reconstruction algorithm for $f( ext{Q})$ gravity to derive exact isotropic and anisotropic cosmological solutions, with potential applications in dark energy, inflation, and early universe scenarios.
Contribution
It introduces a new reconstruction method for $f( ext{Q})$ gravity to obtain exact Bianchi Type-I and FLRW solutions, expanding the toolkit for cosmological modeling.
Findings
Derived exact Bianchi Type-I solutions.
Obtained exact Friedmann-Lemaître-Robertson-Walker solutions.
Potential applications in dark energy and early universe cosmology.
Abstract
We present a reconstruction algorithm for cosmological models based on gravity. We specifically focus on obtaining exact Bianchi Type-I and Friedmann-Lema\^{\i}tre-Robertson-Walker solutions, finding solutions that might have application in a variety of scenarios such as spontaneous isotropization of Bianchi Type-I models, dark energy, inflation as well as pre-Big Bang cosmologies.
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