Abstract

Stability, dark energy (DE) parameterization and swampland aspects for the Bianchi form-[Formula: see text] universe have been formulated in an extended gravity hypothesis. Here, we have assumed a minimally coupled geometry field with a rescaled function of [Formula: see text] replaced in the geometric action by the Ricci scalar [Formula: see text]. Exact solutions are sought under certain basic conditions for the related field equations. For the following theoretically valid premises, the field equations in this scalar-tensor theory have been solved. It is observed under appropriate conditions that our model shows a decelerating to accelerating phase transition property. Results are observed to be coherent with recent observations. Here, our models predict that the universe’s rate of expansion will increase with the passage of time. The physical and geometric aspects of the models are discussed in detail. In this model, we also analyze the parameterizations of DE by fitting the EoS parameter [Formula: see text] with redshift. The results obtained would be useful in clarifying the relationship between DE parameters. In this, we also explore the correspondence of quintessence DE with swampland criteria. The swampland criteria have been also shown the nature of the scalar field and the potential of the scalar field.

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