For all three symmetric teleparallel connection branches, f(Q) gravity can be reconstructed to reproduce exactly the LambdaCDM background expansion, analytically for two branches and numerically for the third.
A New Class of Cosmologically `Viable' $f(R)$ Models
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Instead of assuming a form of gravity and demand cosmology fit with $\Lambda CDM$, a potentially `viable' $f(R)$ gravity model is derived assuming an alternative model of cosmology. Taking the `designer' approach to $f(R)$, a new class of solutions are derived starting with linear coasting cosmology in which scale factor linearly increases with time during matter domination. The derived forms of $f(R)$ are presented as result.
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Reproducing $\Lambda$CDM-like Solutions in $f(Q)$ Gravity: A Comprehensive Study Across All Connection Branches
For all three symmetric teleparallel connection branches, f(Q) gravity can be reconstructed to reproduce exactly the LambdaCDM background expansion, analytically for two branches and numerically for the third.