Correspondence between modified gravity and 5D Ricci-flat cosmologies

Abstract

We study the correspondence between two theoretical frameworks for describing dark energy, $f(R)$ gravity and higher-dimensional Space-Time-Matter (STM) or induced-matter theory. We show that the Hubble expansion parameter in $f(R)$ gravity can be associated with a combination of metric functions in STM theory, and consider a specific example whose properties are consistent with late-time acceleration.

9 pages, 2 figures, Revised and accepted for publication in IJMPD

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Cited by in corpus (1)

• Higher-order gravity in higher dimensions: Geometrical origins of four-dimensional cosmology?