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.

引用

页数：4

共 50 条

[31] Starobinsky-like inflation in no-scale supergravity Wess-Zumino model with Polonyi term [J].

Romao, Miguel Crispim ;

King, Stephen F. .

JOURNAL OF HIGH ENERGY PHYSICS, 2017, (07)

[32] Starobinsky inflation and dark energy and dark matter effects from quasicrystal like spacetime structures [J].

Aschheim, Raymond ;

Bubuianu, Laurentiu ;

Fang, Fang ;

Irwin, Klee ;

Ruchin, Vyacheslav ;

Vacaru, Sergiu, I .

ANNALS OF PHYSICS, 2018, 394 :120-138

[33] Starobinsky model with a viscous fluid [J].

Myrzakulov, Y. ;

Sharlez, A. ;

Kenzhalin, D. ;

Myrzakul, S. ;

Yergaliyeva, G. .

INTERNATIONAL JOURNAL OF MATHEMATICS AND PHYSICS, 2022, 13 (01) :99-104

[34] Is imaginary Starobinsky model real? [J].

Kallosh, Renata ;

Linde, Andrei ;

Vercnocke, Bert ;

Chemissany, Wissam .

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2014, (07)

[35] Reheating processes after Starobinsky inflation in old-minimal supergravity [J].

Terada, Takahiro ;

Watanabe, Yuki ;

Yamada, Yusuke ;

Yokoyama, Jun'ichi .

JOURNAL OF HIGH ENERGY PHYSICS, 2015, (02)

[36] Chaotic inflation limits for non-minimal models with a Starobinsky attractor [J].

Mosk, B. ;

van der Schaar, J. P. .

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2014, (12)

[37] Phenomenology of SUGRA extensions of the Starobinsky model [J].

Kwan , Man Ping .

ANNALS OF PHYSICS, 2019, 411

[38] Refined predictions for Starobinsky inflation and post-inflationary constraints in light of ACT [J].

Drees, Manuel ;

Xu, Yong .

PHYSICS LETTERS B, 2025, 867

[39] Starobinsky cosmological model in Palatini formalism [J].

Stachowski, Aleksander ;

Szydlowski, Marek ;

Borowiec, Andrzej .

EUROPEAN PHYSICAL JOURNAL C, 2017, 77 (06)

[40] Helical phase inflation via non-geometric flux compactifications: from natural to starobinsky-like inflation [J].

Li, Tianjun ;

Li, Zhijin ;

Nanopoulos, Dimitri V. .

JOURNAL OF HIGH ENERGY PHYSICS, 2015, (10)

← 1 2 3 4 5 →