Effective cosmological equations of induced f(R) gravity

Understand

We expand the study of generalized brane cosmologies by allowing for an $f(\tilde{\cal R})$ gravity term on the brane, with $\tilde{\cal R}$ the curvature scalar derived from the induced metric.

• We also include arbitrary matter components on the brane and in the five-dimensional bulk.
• At low energies, the effect of the bulk on the brane evolution can be described through a mirage component, termed generalized dark radiation, in the effective four-dimensional field equations.
• Using the covariant formalism, we derive the exact form of these equations.