Dynamical analysis on f (R, G) cosmology

被引：53
作者：
Santos da Costa, S. [1 ,2 ]
Roig, F., V [1 ]
Alcaniz, J. S. [1 ,3 ,4 ]
Capozziello, S. [2 ,5 ,6 ]
De Laurentis, M. [7 ,8 ]
Benetti, M. [1 ]
机构：
[1] Observ Nacl, Dept Astron, BR-20921400 Rio De Janeiro, RJ, Brazil
[2] Univ Napoli Federico II, Dipartimento Fis E Pancini, Compl Univ Monte S Angelo,Edificio G,Via Cinthia, I-80126 Naples, Italy
[3] McGill Univ, Phys Dept, Montreal, PQ H3A 2T8, Canada
[4] Univ Fed Rio Grande do Norte, Dept Fis, BR-59072970 Natal, RN, Brazil
[5] Ist Nazl Fis Nucl, Sez Napoli, Compl Univ Monte S Angelo,Edificio G,Via Cinthia, I-80126 Naples, Italy
[6] Ist Nazl Fis Nucl, Gran Sasso Sci Inst, Viale F Crispi 7, I-67100 Laquila, Italy
[7] Goethe Univ, Inst Theoret Phys, Max von Laue Str 1, D-60438 Frankfurt, Germany
[8] Tomsk State Pedag Univ, Tomsk 634061, Russia
来源：
CLASSICAL AND QUANTUM GRAVITY | 2018年 / 35卷 / 07期
基金：
欧洲研究理事会;
关键词：
modified gravity; cosmological model; dynamical system; Gauss-Bonnet term; PRE-BIG-BANG; MATTER CREATION; INVARIANCE; GRAVITY; GHOST;
D O I：
10.1088/1361-6382/aaad80
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We use a dynamical system approach to study the cosmological viability of f(R, G) gravity theories. The method consists of formulating the evolution equations as an autonomous system of ordinary differential equations, using suitable variables. The formalism is applied to a class of models in which f(R, G) proportional to R(n)G(1-n) and its solutions and corresponding stability are analysed in detail. New accelerating solutions that can be attractors in the phase space are found. We also find that this class of models does not exhibit a matter-dominated epoch, a solution which is inconsistent with current cosmological observations.
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页数：14
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