Probing the era of reheating for reconstructed inflationary potential in the RS II braneworld

Abstract

We analyse the epoch of reheating after an inflationary phase in the Randal Sundrum(RS) Type-$\mathrm{II}$ braneworld, where we did not consider any particular model of inflation, but rather reconstructed the inflationary potential solving the flow equations using Monte Carlo (MC) approach. It is shown numerically that a potential conceived through the MC reconstruction technique can be represented by an effective potential as a function of the number of e-foldings($N$). Then, the epoch of reheating is studied for this reconstructed potential. The relation between the reheating temperature ($T_{\mathrm{reh}}$) and the 5-dimensional Planck mass($M_5$) is established. Moreover, it is argued that there is a stringent bound on the critical reheating temperature that also translates to a tight bound on $M_5$ .

16 pages, 9 figures, minor corrections made, matches the published version