2 research outputs found
Particle creation in the presence of a warped extra dimension
Particle creation in spacetimes with a warped extra dimension is studied. In
particular, we investigate the dynamics of a conformally coupled, massless
scalar field in a five dimensional warped geometry where the induced metric on
the 3--branes is that of a spatially flat cosmological model. We look at
situations where the scale of the extra dimension is assumed (i) to be time
independent or (ii) to have specific functional forms for time dependence. The
warp factor is chosen to be that of the Randall--Sundrum model. With particular
choices for the functional form of the scale factor (and also the function
characterising the time evolution of the extra dimension) we obtain the , the particle number and energy densities after solving (wherever
possible, analytically but, otherwise, numerically) the conformal scalar field
equations. The behaviour of these quantities for the massless and massive
Kaluza--Klein modes are examined. Our results show the effect of a warped extra
dimension on particle creation and illustrate 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.Comment: 21 pages, 10 figures, minor corrections, new references added,
version to appear in JCA