English

Effective cosmological equations of induced f(R) gravity

High Energy Physics - Theory 2010-10-22 v3 Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology

Abstract

We expand the study of generalized brane cosmologies by allowing for an f(R~)f(\tilde{\cal R}) gravity term on the brane, with R~\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.

Keywords

Cite

@article{arxiv.1006.4573,
  title  = {Effective cosmological equations of induced f(R) gravity},
  author = {Pantelis S. Apostolopoulos and Nikolaos Brouzakis and Nikolaos Tetradis},
  journal= {arXiv preprint arXiv:1006.4573},
  year   = {2010}
}

Comments

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