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Kantowski-Sachs and Bianchi III dynamics in f(Q)-gravity

2024/03/11 by Alfredo D. Millano, Konstantinos F. Dialektopoulos, Millano, Alfredo D. +11
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #High Energy Physics - Phenomenology (hep-ph) #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.2403.06922

openalex publication_date 2024/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We explore the phase-space of homogeneous and anisotropic spacetimes within symmetric teleparallel f(Q)-gravity. Specifically, we consider the Kantowski-Sachs and locally rotational Bianchi III geometries to describe the physical space. By analyzing the phase-space, we reconstruct the cosmological history dictated by f(Q)-gravity and comment about the theory's viability. Our findings suggest that the free parameters of the connection must be constrained to eliminate nonlinear terms in the field equations. Consequently, new stationary points emerge, rendering the theory cosmologically viable. We identify the existence of anisotropic accelerated universes, which may correspond to the pre-inflationary epoch.

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