Brane f(R) gravity and the dark side of the universe

Mathematics – Logic

Scientific paper

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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.

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