Cosmological solutions in modified gravity with monomial nonlocality

被引:11
作者
Dimitrijevic, Ivan [1 ]
机构
[1] Univ Belgrade, Fac Math, Studentski Trg 16, Belgrade 11000, Serbia
关键词
Modified gravity; Nonlocal gravity; Cosmological solutions; MODELS;
D O I
10.1016/j.amc.2016.03.030
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider cosmological properties of modified gravity with nonlocal term (RF)-F-p(square) R-q in its Lagrangian. Equations of motion are presented. For the flat FLRW metric, and some particular values of natural numbers p and q cosmological solutions of the form a (t) = Ce-(gamma/12)t(2) are found. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码:195 / 203
页数:9
相关论文
共 18 条
[1]   Bouncing universes in string-inspired gravity [J].
Biswas, T ;
Mazumdar, A ;
Siegel, W .
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2006, (03)
[2]   Generalized ghost-free quadratic curvature gravity [J].
Biswas, Tirthabir ;
Conroy, Aindriu ;
Koshelev, Alexey S. ;
Mazumdar, Anupam .
CLASSICAL AND QUANTUM GRAVITY, 2014, 31 (01)
[3]   Towards Singularity- and Ghost-Free Theories of Gravity [J].
Biswas, Tirthabir ;
Gerwick, Erik ;
Koivisto, Tomi ;
Mazumdar, Anupam .
PHYSICAL REVIEW LETTERS, 2012, 108 (03)
[4]   Towards a resolution of the cosmological singularity in non-local higher derivative theories of gravity [J].
Biswas, Tirthabir ;
Koivisto, Tomi ;
Mazumdar, Anupam .
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2010, (11)
[5]   Modified gravity and cosmology [J].
Clifton, Timothy ;
Ferreira, Pedro G. ;
Padilla, Antonio ;
Skordis, Constantinos .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2012, 513 (1-3) :1-189
[6]  
Dimitrijevic I., 2015, COSMOLOGY MODIFIED G
[7]   Some Cosmological Solutions of a Nonlocal Modified Gravity [J].
Dimitrijevic, Ivan ;
Dragovich, Branko ;
Grujic, Jelena ;
Rakic, Zoran .
FILOMAT, 2015, 29 (03) :619-628
[8]   A NEW MODEL OF NONLOCAL MODIFIED GRAVITY [J].
Dimitrijevic, Ivan ;
Dragovich, Branko ;
Grujic, Jelena ;
Rakic, Zoran .
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2013, 94 (108) :187-196
[9]  
Dimitrijevic I, 2013, ROM J PHYS, V58, P550
[10]  
Dimitrijevic Ivan, 2013, SPRINGER PROC MATH S, V36, P251