De Sitter and power-law solutions in non-local Gauss Bonnet gravity

被引：16

作者：

Elizalde, E. ^{[1
,2
,3
,4
]}

Odintsov, S. D. ^{[1
,2
,3
,4
,5
]}

Pozdeeva, E. O. ^{[6
]}

Vernov, S. Yu ^{[6
]}

机构：

[1] CSIC, ICE, Campus UAB,Carrer Can Magrans S-N, Bellaterra 08193, Barcelona, Spain

[2] IEEC, Campus UAB,Carrer Can Magrans S-N, Bellaterra 08193, Barcelona, Spain

[3] Tomsk State Univ Control Syst & Radioelect TUSUR, Lab Theoret Cosmol, Tomsk 634050, Russia

[4] Tomsk State Pedag Univ, Tomsk 634061, Russia

[5] ICREA, Barcelona, Spain

[6] Lomonosov Moscow State Univ, Skobeltsyn Inst Nucl Phys, Leninskiye Gory 1, Moscow 119991, Russia

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2018年 / 15卷 / 11期

关键词：

Non-local gravity; Gauss-Bonnet term; non-minimal coupling; exact solution; PHANTOM DARK ENERGY; COSMOLOGICAL SOLUTIONS; MODELS;

D O I：

10.1142/S0219887818501888

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The cosmological dynamics of a non-locally corrected gravity theory, involving a power of the inverse d'Alembertian, is investigated. Casting the dynamical equations into local form, the fixed points of the models are derived, as well as corresponding de Sitter and power-law solutions. Necessary and sufficient conditions on the model parameters for the existence of de Sitter solutions are obtained. The possible existence of power-law solutions is investigated, and it is proven that models with de Sitter solutions have no power-law solutions. A model is found, which allows to describe the matter-dominated phase of the Universe evolution.

引用

页数：15

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