Publications de l’Institut Mathématique, Nouvelle Série Vol. 103[117] 
On Nonlocal Gravity With Constant Scalar CurvatureIvan Dimitrijević, Branko Dragovich, Zoran Rakić, Jelena StankovićUniversity of Belgrade, Faculty of Mathematics, Belgrade, Serbia; Mathematical Institute, Serbian Academy of Sciences and Arts, Belgrade, Serbia; University of Belgrade, Teacher Education Faculty Belgrade, SerbiaAbstract: A class of nonlocal gravity models, where nonlocal term contains an analytic function of the d’Alembert operator $\square $, is considered. For simplicity, these models are considered without matter sector. Related equations of motion for gravitational field ${g}_{\mu \nu}\left(x\right)$ are presented and analyzed for a constant scalar curvature $R$. The corresponding solutions for the cosmological scale factor $a\left(t\right)$ of the FLRW universe are found and discussed. Keywords: modified gravity, nonlocal gravity, cosmological solutions Classification (MSC2000): 83Dxx, 83Fxx, 53C21; 83C10, 83C15 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 26 Apr 2018. This page was last modified: 11 Mai 2018.
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