https://doi.org/10.1140/epjc/s10052-026-15509-2
Regular Article - Theoretical Physics
Minisuperspace cosmology in extended geometric trinity of gravity
1
Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di Frascati, 00044, Frascati, Italy
2
Dipartimento di Fisica “Ettore Pancini”, Università degli Studi di Napoli “Federico II”, Via Cinthia Edificio 6, 80126, Naples, Italy
3
Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Via Cinthia Edificio 6, 80126, Naples, Italy
4
Scuola Superiore Meridionale, Largo San Marcellino 10, 80138, Naples, Italy
a
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Received:
30
November
2025
Accepted:
28
February
2026
Published online:
23
March
2026
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.
© The Author(s) 2026
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