Abstract

We discuss certain classical and quantum features of warped braneworld models with a dynamic extra dimension (analytically, wherever possible, otherwise numerically). We are able to demonstrate, that it is indeed possible to construct such generalised braneworld models with different bulk matter sources satisfying the weak energy conditions. The effect of the metric functions – the cosmological scale factor, scale of the extra dimension and the warp factor on geodesic motion are studied in detail. Distinctive features of the geodesics in different braneworld scenarios are thus highlighted. Also the issue of geodesic confinement is addressed. Particle creation, which is essentially a quantum consequence of the dynamic nature of spacetime, is investigated and how the nature of particle production on the brane depends on the nature of warping, type of cosmological evolution as well as the temporal evolution of the extra dimension is illustrated. We, in fact, have found a class of models for which the back reaction due to particle production can be controlled.

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