Brane cosmology driven by the rolling tachyon

Brane cosmology driven by the tachyon rolling down to its ground state is investigated. We adopt an effective field theoretical description for the tachyon and Randall-Sundrum type brane-world scenario. After formulating the basic equations, we show that the standard cosmology with the usual scalar field can mimic the low-energy behavior of the system near the tachyon ground state. We also investigate the qualitative behavior of the system beyond the low-energy regime for a positive, negative, and vanishing four-dimensional effective cosmological constant Λ₄=κ₅⁴V(T₀)²/12-|Λ₅|/2, where κ₅ and Λ₅ are the five-dimensional gravitational coupling constant and (negative) cosmological constant, respectively, and V(T₀) is the (positive) tension of the brane in the tachyon ground state. In particular, for Λ₄<0, the tachyon never settles down to its potential minimum and the universe eventually hits a big-crunch singularity.