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Cosmological scenarios in $f(Q; C)$ gravity with a dynamical degree of freedom
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DOI：10.1088/1361-6382/ae60bd.png)
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Abstract
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The theory, which extends symmetric teleparallel gravity by including the boundary term C in addition to the non-metricity scalar Q, provides a unifying framework that encompasses both f(Q) and gravities. In this work, we develop a comprehensive dynamical system analysis of cosmology formulated within the non-coincident affine connection branches. Unlike the coincident case, these branches introduce a dynamical degree of freedom that significantly enriches the cosmological phase space. We show that even for simple power-law forms of the Lagrangian, the theory accommodates a broad spectrum of cosmic scenarios, including successive pressureless matter eras, stiff-matter phases between early inflation and dark matter domination, and late-time acceleration. Our analysis demonstrates that the Universe can naturally evolve from an initial de Sitter (dS) phase to a matter-dominated epoch and subsequently to a final dS attractor, consistent with the observed thermal history. These results highlight the role of the dynamical connection in shaping cosmic evolution and underline the potential of gravity as a viable alternative framework for addressing outstanding issues in modern cosmology.
Keywords:
f(Q
C) gravity
dynamical system analysis
cosmological scenarios
non-coincident affine connection
dark energy
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