New exact solutions of brane-world cosmology are given. These solutions inc
lude an arbitrary constant C, which is determined by the geometry Outside t
he brane and which affects the cosmological evolution in the brane-world. I
f C is zero, then the standard cosmology governs the brane-world as a low-e
nergy effective cosmological theory. However, if C is not zero, then even i
n low-energy the brane-world cosmology gives predictions different from the
standard one. The difference can be understood as "dark radiation'', which
is not real radiation but alters cosmological evolutions. (C) 2000 Publish
ed by Elsevier Science B.V. All rights reserved.