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Quintessence with a localized scalar field on the brane. (English) Zbl 1138.83337

Summary: We study issues of the quintessence in the brane cosmology. The initial bulk space-time consists of two 5D topological anti-de Sitter black hole joined by the brane (moving domain wall). Here we do not introduce any conventional radiation and matter. Instead we include a localized scalar on the brane 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 will plays the role of a CFT-radiation in the early universe.

MSC:

83C57 Black holes
83E30 String and superstring theories in gravitational theory
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