f(R) gravity - Wikipedia
https://en.wikipedia.org/wiki/F(R)_gravity
OverviewMetric f(R) gravityPalatini f(R) gravityMetric-affine f(R) gravityObservational testsStarobinsky gravityGogoi-Goswami gravityTensorial generalizationf(R) is a type of modified gravity theory which generalizes Einstein's general relativity. f(R) gravity is actually a family of theories, each one defined by a different function, f, of the Ricci scalar, R. The simplest case is just the function being equal to the scalar; this is general relativity. As a consequence of introducing an arbitrary function, there may be freedom to explain the accelerated expansion and structure formation of the Universe without adding unknown forms of dark energy or dark …
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