Particle creation by a massless spin-$\frac{1}{2}$ field in a warped cosmological braneworld scenario

Energy momentum tensor of a quantized massless bulk spin-$\frac{1}{2}$ field in five dimensional warped cosmological spacetimes is studied. The four dimensional part of our model represents a warped cosmological thick brane and the scale of the extra dimension is time-dependent. We use a simple ansatz to solve the Dirac equation in the bulk that helps us to compare our results with the known four dimensional case. Renormalisation of the components of the energy momentum tensor is achieved using adiabatic regularization method. We compute the leading order finite contribution to the stress-energy tensor which is of adiabatic order six. The resulting energy and pressure densities explicitly show the effects of the so-called warping factor and the dynamic extra dimension on the created matter. We show how the energy density produced are localized to form 3-branes along the extra dimension.
Comment: 24 preprint pages, 3 figures. Here we correct few overall sign mistakes appeared in e-Print: 1506.06909 [gr-qc] and e-Print: 1601.05518 [gr-qc]