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Pole inflation in dRGT theory

2021 
Although the dRGT theory successfully explains the late-time cosmic acceleration, it cannot justify inflation. On the other hand, and in the framework of General Relativity and modified gravity, the interests and attempts to describe dark energy and inflation by using Lagrangians including poles, called pole dark energy, and pole inflation, respectively, have recently been enhanced. Subsequently, we are going to show that a pole Lagrangian may justify inflation in the framework of dRGT theory. The study is done focusing on power and exponential potentials, and the results show a plausible consistency with the Planck 2015 data. All power potential results lie within the 95% CL region of the Planck 2015 TT,TE,EE+lowP data. Furthermore, depending on the value of the order of pole, the exponential potential results also lie within the 95% CL region of the Planck 2015 TT,lowP data.
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