Effective cosmological equations of induced f(R) gravity

Journal Article · Sun Aug 01 04:00:00 EDT 2010 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2010/08/032· OSTI ID:22272827

Apostolopoulos, Pantelis S.; Tetradis, Nikolaos ^[1]; Brouzakis, Nikolaos ^[2]

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1. Department of Physics, University of Athens, University Campus, Zographou 157 84 (Greece)
2. Departament de Física, Univeristat Autònoma de Barcelona, 08193 Bellaterra, Barcelona (Spain)

We expand the study of generalized brane cosmologies by allowing for an f( R-tilde ) gravity term on the brane, with R-tilde 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.

• OSTI ID: 22272827
• Journal Information: Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 08 Vol. 2010; ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
BRANES
COSMOLOGICAL MODELS
COSMOLOGY
FIELD EQUATIONS
FOUR-DIMENSIONAL CALCULATIONS
GRAVITATION
METRICS
SCALARS