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Cosmology in symmetric teleparallel gravity and its dynamical system

4 Pith papers cite this work. Polarity classification is still indexing.

4 Pith papers citing it
abstract

We explore an extension of the symmetric teleparallel gravity denoted the $f(Q)$ theory, by considering a function of the nonmetricity invariant $Q$ as the gravitational Lagrangian. Some interesting properties could be found in the $f(Q)$ theory by comparing with the $f(R)$ and $f(T)$ theories. The field equations are derived in the $f(Q)$ theory. The cosmological application is investigated. In this theory the accelerating expansion is an intrinsic property of the universe geometry without need of either exotic dark energy or extra fields. And the state equation of the geometrical dark energy can cross over the phantom divide line in the $f(Q)$ theory. In addition, the dynamical system method are investigated. It is shown that there are five critical points in the STG model for taking $f(Q)=Q+\alpha Q^2$. The critical points $P_{4}$ and $P_{5}$ are stable. $P_{4}$ corresponds to the geometrical dark energy dominated de Sitter universe ($w_{tot}^{eff}$=-1), while $P_{5}$ corresponds to the matter dominated universe ($w_{tot}^{eff}$=0). Given that $P_{4}$ represents an attractor, the cosmological constant problems, such as the fine tuning problem, could be solved in the STG model.

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representative citing papers

3-dimensional charged black holes in $f({Q})$ gravity

gr-qc · 2025-06-11 · conditional · novelty 7.0

New exact charged black hole solutions in (2+1)D f(Q) gravity with cubic form yield a novel AdS solution without GR counterpart, with multiple horizons, stable thermodynamics, and stable photon orbits.

Static plane symmetric solutions in $f(Q)$ gravity

gr-qc · 2025-12-22 · unverdicted · novelty 5.0

f(Q) gravity yields Taub-de Sitter-like plane symmetric vacuum solutions, and quadratic models support isotropic slabs where maximum pressure is offset from the center with thickness and pressure increasing for negative α.

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