Cosmography of f(R) - brane cosmology

Understand

Cosmography is a useful tool to constrain cosmological models, in particular dark energy models.

• In the case of modified theories of gravity, where the equations of motion are generally quite complicated, cosmography can contribute to select realistic models without imposing arbitrary choices a priori.
• Indeed, its reliability is based on the assumptions that the universe is homogeneous and isotropic on large scale and luminosity distance can be "tracked" by the derivative series of the scale factor a(t).
• We apply this approach to induced gravity brane-world models where an f(R)-term is present in the brane effective action.