A New Class of Cosmologically `Viable' $f(R)$ Models

Abstract

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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References in corpus (6)

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• Stability of Cosmological Solution in f(R) Models of Gravity
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• A "Freely Coasting" Universe
• Cosmological Models in Modified f(R) Gravity Theories