Quintessence with a localized scalar field on the brane

We study issues of the quintessence in the brane cosmology. The initial bul k space-time consists of two 5D topological anti-de Sitter black hole joine d by the brane (moving domain wall). Here we do not introduce any conventio nal radiation and matter. Instead we include a localized scalar on the bran e as a stress-energy tensor, and thus we find the quintessence which gives an accelerating universe. Importantly, we obtain a rho (2)-term as well as a holographic matter term of alpha /a(4) from the masses of the topological black holes. We discuss a possibility that in the early universe, rho (2)- term makes a large kinetic term which induces a decelerating universe. This may provide a hint of avoiding from the perpetually accelerating universe of the present-day quintessence. If a holographic matter term exists, it wi ll plays the role of a CFT-radiation in the early universe.