Minisuperspace Cosmology in Extended Geometric Trinity of Gravity
Abstract
We investigate Extended Geometric Trinity of Gravity at both classical and quantum cosmological levels using the minisuperspace approach. Adopting Noether symmetries to select viable models, we examine metric-affine theories of gravity, in particular the extensions of General Relativity, Teleparallel Equivalent General Relativity and Symmetric Teleparallel Equivalent General Relativity, and show that the equivalence among these different formulations can be restored by including in the Lagrangian the divergence terms that relate their respective geometric invariants to the Ricci scalar. Exact cosmological solutions are derived and compared in the different models.
Keywords
Cite
@article{arxiv.2603.00596,
title = {Minisuperspace Cosmology in Extended Geometric Trinity of Gravity},
author = {Emmanuele Battista and Salvatore Capozziello and Stefano Pastore},
journal= {arXiv preprint arXiv:2603.00596},
year = {2026}
}
Comments
19 pages, 1 figure, 1 table. Accepted for publication in THE EUROPEAN PHYSICAL JOURNAL C