Abstract
We have investigated a brane world model in which the gravitational field in the bulk is described both by a metric tensor and a minimally coupled scalar field. This scalar field is taken to be a chameleon with an appropriate potential function. The scalar field interacts with matter and there is an energy transfer between the two components. We find a late-time asymptotic solution which exhibits late-time accelerating expansion. We also show that the Universe recently crosses the phantom barrier without recourse to any exotic matter. We provide some thermodynamic arguments which constrain both the direction of energy transfer and dynamics of the extra dimension.
Highlights
General Relativity has brilliant successes in explaining gravitational phenomena in Solar System
We have investigated a brane world scenario in which gravity is described by a five-dimensional metric together with a minimally coupled scalar field
When Q > 0 matter is created and energy is injecting into the matter system so that the latter will dilute more slowly compared to its standard evolution ρb ∝ a−3(ωb+1)
Summary
General Relativity has brilliant successes in explaining gravitational phenomena in Solar System. There are some unresolved problems such as inflation, the cosmological constant problem and the problems associated with the dark sector, i.e., dark matter and dark energy These problems have motivated people to seek for some modifications of the theory. In the so-called RSI model [1], they proposed a mechanism to solve the hierarchy problem with use of two branes, while in the RSII model [2] they considered a single brane with a positive tension In the latter model, the extra-dimension is compactified and a four-dimensional Newtonian gravity is recovered at low energies. There are different motivations for introducing a bulk scalar field in brane world scenarios This scalar field may be used to formulate a low-energy effective theory [6] or to address the gauge hierarchy problem [7]. One of the important motivations to introduce such a bulk
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