What is the amplitude of the gravitational waves background expected in the Starobinsky model?

被引：19

作者：

Renzi, Fabrizio ^{[1
,2
,3
]}

Shokri, Mehdi ^{[1
,2
]}

Melchiorri, Alessandro ^{[1
,2
]}

机构：

[1] Univ Roma La Sapienza, Phys Dept, Ple Aldo Moro 2, I-00185 Rome, Italy

[2] Univ Roma La Sapienza, INFN, Ple Aldo Moro 2, I-00185 Rome, Italy

[3] Leiden Univ, Inst Lorentz, POB 9506, NL-2300 RA Leiden, Netherlands

来源：

PHYSICS OF THE DARK UNIVERSE | 2020年 / 27卷

关键词：

Inflation; CMB; UNIVERSE; INFLATION; GRAVITY;

D O I：

10.1016/j.dark.2019.100450

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The inflationary model proposed by Starobinsky in 1979 predicts an amplitude of the spectrum of primordial gravitational waves, parametrized by the tensor to scalar ratio, of r = 0.0037 in case of a scalar spectral index of n(S) = 0.965. This amplitude is currently used as a target value in the design of future CMB experiments with the ultimate goal of measuring it at more than five standard deviations. Here we evaluate how stable are the predictions of the Starobinsky model on r considering the experimental uncertainties on nS and the assumption of Lambda CDM. We also consider inflationary models where the R-2 term in Starobinsky action is generalized to a R-2p term with index p close to unity. We found that current data place a lower limit of r > 0.0013 at 95% C.L. for the classic Starobinsky model, and predict also a running of the scalar index different from zero at more than three standard deviation in the range dn/dlnk = -0.0006(-0.0001)(+0.0002). A level of gravitational waves of r similar to 0.001 is therefore possible in the Starobinsky scenario and it will not be clearly detectable by future CMB missions as LiteBIRD and CMB-S4. When assuming a more general R-2p inflation we found no expected lower limit on r, and a running consistent with zero. We found that current data are able to place a tight constraints on the index of R-2p models at 95% C.L. i.e. p = 0.99(-0.03)(+0.02). (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：10

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