R-2 corrections to the cosmological dynamics of inflation in the Palatini formulation
R-2 corrections to the cosmological dynamics of inflation in the Palatini formulation
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DOI：
10.1088/0264-9381/21/8/008
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发表时间：
2004-02
影响因子：
3.5
通讯作者：
Xin-he Meng;Peng Wang
中科院分区：
文献类型：
--
作者：
Xin-he Meng;Peng Wang
我们研究了Palatini公式中的R2项对暴胀宇宙动力学的修正，它可能是对早期宇宙中有效拉格朗日量的量子修正。我们发现，当标量场处于势能占优时，标准Friedmann方程不会发生变化。然而，在动能主导的时代，标准弗里德曼方程将被修改，并且在封闭和平坦宇宙的情况下，修改后的弗里德曼方程将自动要求标量场的初始动能密度必须在次普朗克尺度。
We investigate the corrections to the inflationary cosmological dynamics due to a R2 term in the Palatini formulation which may arise as quantum corrections to the effective Lagrangian in early universe. We found that the standard Friedmann equation will not be changed when the scalar field is in the potential energy dominated era. However, in the kinetic energy dominated era, the standard Friedmann equation will be modified and in the case of a closed and flat universe, the modified Friedmann equation will automatically require that the initial kinetic energy density of the scalar field must be in sub-Planckian scale.