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.

19 pages, 1 figure, 1 table. Accepted for publication in THE EUROPEAN PHYSICAL JOURNAL C

References in corpus (32)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• f(R,T) gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• f(T) teleparallel gravity and cosmology
• Curvature Quintessence
• Coincident General Relativity
• Teleparallel Gravity: From Theory to Cosmology
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• Bouncing Cosmology in f(Q) Symmetric Teleparallel Gravity
• Hamiltonian dynamics and Noether symmetries in Extended Gravity Cosmology
• Black holes in $f(\mathbb{Q})$ Gravity
• f(R) cosmology by Noether's symmetry
• New Schwarzschild-like solutions in f(T) gravity through Noether symmetries
• Comparing Equivalent Gravities: common features and differences
• Physical non-equivalence of the Jordan and Einstein frames
• Dark energy and dust matter phases from an exact $f(R)$-cosmology model
• Noether symmetries in Bianchi universes
• Selection Rules in Minisuperspace Quantum Cosmology
• Weyl geometry
• Minisuperspace quantum cosmology in $f(Q)$ gravity
• Gravitational tensor and scalar modes in $f(Q,B)$ non-metric gravity
• Minisuperspace Quantum Cosmology in Metric and Affine Theories of Gravity
• Teleparallel theory as a gauge theory of translations: comments and issues
• Gibbons-Hawking-York boundary terms and the generalized geometrical trinity of gravity
• Gravity from Pre-geometry
• Extended Geometric Trinity of Gravity
• Hamiltonian Analysis of Pre-geometric Gravity
• Background-dependent and classical correspondences between $f(Q)$ and $f(T)$ gravity
• Equivalent Gravities and Equivalence Principle: Foundations and experimental implications