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An analytic formula to calculate the reheating temperature via gravitational particle production

Jaume de HaroLlibert Arest\'e Sal\'o
Dec 2022
摘要
We present for smooth backgrounds an analytic formula which calculates theenergy density of massive and massless particles created via gravitationalparticle production, thus giving the corresponding reheating temperature. Itcan be applied to models of Quintessential Inflation such as$\alpha$-attractors, and shows that for masses larger than the Hubble rate atthe end of inflation, namely $H_{END}$, the reheating temperature isexponentially suppressed. On the contrary, for masses of the order of $H_{END}$one obtains a maximum reheating temperature of the order of $10^7$ GeV.Finally, to overcome the constraints coming from the overproduction ofGravitational Waves in Quintessential Inflation, we have shown that the viablemasses which ensure the Big Bang Nucleosynthesis success are in the rangebetween $10^{10}$ GeV and $2\times 10^{13}$ GeV.
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