Bianchi I spacetimes in $f\left(Q\right)$-gravity

Autor:	Paliathanasis, Andronikos, Leon, Genly
Rok vydání:	2024
Předmět:	General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	The Kasner spacetimes are exact solutions that are self-similar and of significant interest because they can describe the dynamic evolution of kinematic variables near the singularity of the Mixmaster universe. The chaotic behavior of the Mixmaster universe is related to the Kasner relations. This study investigates Kasner and Kasner-like solutions in symmetric teleparallel $f\left( Q\right) $-gravity. We consider three families of connections for the spatially flat Friedmann-Lema\^{\i}tre-Robertson-Walker. We found that Kasner-like solutions are present in the theory when the nonmetricity scalar $Q$ vanishes. Kasner-like relations are introduced only for the field equations of the connection defined in the coincidence gauge. Finally, we perform a detailed phase-space analysis to understand the dynamics of $f\left( Q\right) $-gravity in the evolution of anisotropies and the effects of different connections on this evolution. Comment: 24 pages, no figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2406.04563 Zobrazit plný text záznamu View this record from Arxiv