Analytic solution of the Starobinsky model for inflation

被引：26

作者：

Paliathanasis, Andronikos ^{[1
,2
]}

机构：

[1] Univ Austral Chile, Inst Ciencias Fis & Matemat, Valdivia, Chile

[2] Durban Univ Technol, Inst Syst Sci, POB 1334, ZA-4000 Durban, South Africa

来源：

EUROPEAN PHYSICAL JOURNAL C | 2017年 / 77卷 / 07期

关键词：

ORDINARY DIFFERENTIAL-EQUATIONS; LINEAR EVOLUTION-EQUATIONS; MODIFIED GRAVITY; SINGULARITY ANALYSIS; NOETHER SYMMETRY; CONSTRAINTS; CONNECTION; INVARIANT; UNIVERSE;

D O I：

10.1140/epjc/s10052-017-5009-0

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We prove that the field equations of the Starobinsky model for inflation in a Friedmann-Lemaitre-Robertson-Walker metric constitute an integrable system. The analytical solution in terms of a Painleve series for the Starobinsky model is presented for the case of zero and nonzero spatial curvature. In both cases the leading-order term describes the radiation era provided by the corresponding higher-order theory.

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页数：4

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