Issue
EPL
Volume 88, Number 2, October 2009
Article Number 29001
Number of page(s) 5
Section Geophysics, Astronomy and Astrophysics
DOI http://dx.doi.org/10.1209/0295-5075/88/29001
Published online 09 November 2009
EPL, 88 (2009) 29001
DOI: 10.1209/0295-5075/88/29001

Brane $f(\mathcal{R})$ gravity

A. Borzou, H. R. Sepangi, S. Shahidi and R. Yousefi

Department of Physics, Shahid Beheshti University - G. C., Evin, Tehran 19839, Iran

a.borzou@mail.sbu.ac.ir
hr-sepangi@sbu.ac.ir
sh.shahidi@mail.sbu.ac.ir
raz.yousefi@mail.sbu.ac.ir

received 13 July 2009; accepted in final form 7 October 2009; published October 2009
published online 9 November 2009

Abstract
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.

PACS
98.80.Qc - Quantum cosmology.
04.50.-h - Higher-dimensional gravity and other theories of gravity.
04.50.Kd - Modified theories of gravity.

© EPLA 2009