Mathematics – Logic
Scientific paper
Oct 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009aipc.1178..131b&link_type=abstract
5TH INTERNATIONAL WORKSHOP ON THE DARK SIDE OF THE UNIVERSE. AIP Conference Proceedings, Volume 1178, pp. 131-137 (2009).
Mathematics
Logic
General Relativity, Redshift, Cosmology, Symmetry, Relativity And Gravitation, Distances, Redshifts, Radial Velocities, Spatial Distribution Of Galaxies, Particle-Theory And Field-Theory Models Of The Early Universe, Symmetry And Conservation Laws
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(R) and derive the resulting Einstein field equation 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 spherically symmetric solutions which account for galaxy rotation curves in a specific form. Then cosmological solutions by assuming a specific form for f(R) are derived which can explain an accelerated expanding universe.
Borzou Ahmad
Sepangi Hamid Reza
Shahidi Shahab
Yousefi R.
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