Effective cosmological equations of induced f(R) gravity

Details Effective cosmological equations of induced f(R) gravity Effective cosmological equations of induced f(R) gravity

2010-06-23

arxiv.org/abs/1006.4573v3

JCAP 1008:032,2010

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, no figures (uses JCAP style/class files); (v2),(v3) new references are added, minor corrections and title changed to

Scientific paper

10.1088/1475-7516/2010/08/032

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. We also derive an effective conservation equation involving the brane matter and the generalized dark radiation. At low energies the coupled brane-bulk system has a purely four-dimensional description. The applications of the formalism include generalizations of the Starobinsky model and the Dvali-Gabadadze-Porrati cosmology.

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