LIMITS ON THE INTEGRATION CONSTANT OF THE DARK RADIATION TERM IN BRANE COSMOLOGY

Abstract

We consider the constraints from primordial Helium abundances on the constant of integration of the dark radiation term of the brane-world generalized Friedmann equation derived from the Randall–Sundrum single brane model. We found that — using simple, approximate and semi-analytical methods — the constant of integration is restricted to the range between -9.18 and 5.18 which limits the contribution from dark radiation to be approximately between -28% to 16% of the background photon energy density.