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arXiv · 2312.11208

Mapping Solutions in Nonmetricity Gravity: Investigating Cosmological Dynamics in Conformal Equivalent Theories

Nikolaos Dimakis·Kevin Duffy·Alex Giacomini·Alexander Yu. Kamenshchik·Genly Leon·Andronikos Paliathanasis
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Abstract

We investigate the impact of conformal transformations on the physical properties of solution trajectories in nonmetricity gravity. Specifically, we explore the phase-space and reconstruct the cosmological history of a spatially flat Friedmann-Lema\^{\i}tre-Robertson-Walker universe within scalar-nonmetricity theory in both the Jordan and Einstein frames. A detailed analysis is conducted for three different connections defined in both the coincident and non-coincident gauges. Our findings reveal the existence of a unique one-to-one correspondence for equilibrium points in the two frames. Furthermore, we demonstrate that solutions describing accelerated universes remain invariant under the transformation that relates these conformally equivalent theories.

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Nikolaos Dimakis, Kevin Duffy, Alex Giacomini, Alexander Yu. Kamenshchik, Genly Leon, Andronikos Paliathanasis. 2023-12-18. Mapping Solutions in Nonmetricity Gravity: Investigating Cosmological Dynamics in Conformal Equivalent Theories. https://arxiv.org/abs/2312.11208

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