We investigate cosmological consequences arising from the interaction betwe
en a homogeneous and isotropic brane-universe and the bulk. A Friedmann equ
ation is derived which incorporates both the brane and bulk matter contribu
tions, which are both assumed to be of arbitrary fluid form. In particular,
new terms arise which describe the energy flow onto (or away from) the bra
ne, as well as changes of the equation of state in the bulk. We discuss Ran
dall-Sundrum type models as well as dilatonic domain walls and carefully co
nsider the conditions for stabilizing the induced gravitational constant. F
urthermore, consequences for cosmological perturbations are analyzed. We sh
ow that, in general, super-horizon amplitudes are not constant. (C) 2000 El
sevier Science B.V. All rights reserved.