Reheating from F-term inflation on brane and gravitino abundance

Abstract

The braneworld Randall Sundrum II (RSII) model has been introduced to solve the problem related to the inflation standard scenario. The RSII model is based on a modification in the Friedmann equation by addition of the fifth dimension, which corresponds to energy, called the brane tension $\lambda$. After the inflation end, and when the universe enters in the reheating epoch, the effect of this energy $\lambda$ continues. In this context, we use the F-term model due to a simple superpotential with different forms of the Kähler potential to investigate the brane tension influence on the reheating temperature value $T_{\rm rh}$. Consequently, we found a large value of $T_{\rm rh}$, which varies in the range $(1-17) \times 10^{14}$ GeV. Also, we have shown that the variation of temperature value $T_{{\rm rh}}$ depends on the brane tension and on the inflationary potential. Moreover in the F-term with the linear Kähler potential, the inflaton has a nonzero vacuum expectation value. At the end of inflation, this leads to an overproduction of gravitino which causes the destruction of the successful predictions of nucleosynthesis. In this context, we have shown that the increase in temperature is accompanied by the decrease in gravitino abundance. Therefore the solution of the gravitino overproduction.