Brane $f(\cal R)$ gravity

Details Brane $f(\cal R)$ gravity Brane $f(\cal R)$ gravity

2009-10-10

arxiv.org/abs/0910.1933v1

EPL 88 (2009) 29001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 2 figures, to appear in EPL

Scientific paper

We consider a brane world scenario in which the bulk action is assumed to have the form of a generic function of the Ricci scalar $f(\mathcal{R})$ and derive the resulting Einstein field equations on the brane. In a constant curvature bulk a conserved geometric quantity appears in the field equations which can be associated with matter. We present cosmological and spherically symmetric solutions by assuming specific forms for $f(\mathcal{R})$ and show that the former can explain an accelerated expanding universe while the latter may account for galaxy rotation curves.

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