Cosmological Perturbations via Quantum Corrections in M-Theory

被引:0
|
作者
Hiraga, Kazuho [1 ]
Hyakutake, Yoshifumi [2 ]
机构
[1] Meijo Univ, Senior High Sch, Nakamura Ku, Shintomi Cho 1-3-16, Nagoya, Aichi 4530031, Japan
[2] Ibaraki Univ, Coll Sci, Bunkyo 2-1-1, Mito, Ibaraki 3108512, Japan
基金
日本学术振兴会;
关键词
inflation; M-theory; quantum gravity; 11; DIMENSIONS; SIGMA-MODEL; INFLATION; GRAVITY; UNIVERSE; TERMS;
D O I
10.3390/universe7110425
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In the early universe, it is important to take into account the quantum effect of gravity to explain the feature of inflation. In this paper, we consider the M-theory effective action which consists of 11-dimensional supergravity and (Weyl)4 terms. The equations of motion are solved perturbatively, and the solution describes the inflation-like expansion in 4-dimensional spacetime. Equations of motion for tensor perturbations around this background are derived perturbatively. We also check that the equations of motion are obtained from the effective action up to the second order of the perturbations. Finally, we solve the equations of motion for the tensor perturbations perturbatively and obtain analytic expressions for them.
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页数:22
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