Cosmological solutions in modified gravity with monomial nonlocality

We consider cosmological properties of modified gravity with nonlocal term R p F ( ? ) 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 ) = C e - γ 12 t 2 are found.

[1]  Antonio Padilla,et al.  Modified Gravity and Cosmology , 2011, 1106.2476.

[2]  A. Koshelev,et al.  Cosmological solutions in nonlocal models , 2014, Physics of Particles and Nuclei Letters.

[3]  R. Woodard.  Nonlocal Models of Cosmic Acceleration , 2014, 1401.0254.

[4]  A. Starobinsky.  STOCHASTIC DE SITTER (INFLATIONARY) STAGE IN THE EARLY UNIVERSE , 1986 .

[5]  J. Grujić,et al.  New Cosmological Solutions in Nonlocal Modified Gravity , 2013, 1302.2794.

[6]  A. Mazumdar,et al.  Towards singularity- and ghost-free theories of gravity. , 2011, Physical review letters.

[7]  A. Ruzmaikin,et al.  Quadratic Corrections to the Lagrangian Density of the Gravitational Field and the Singularity , 1969 .

[8]  J. Grujić,et al.  Some cosmological solutions of a nonlocal modified gravity , 2015, 1508.05583.

[9]  A. Mazumdar,et al.  Towards a resolution of the cosmological singularity in non-local higher derivative theories of gravity , 2010, 1005.0590.

[10]  Ramy Naboulsi.  A New Type of Isotropic Cosmological Model , 2003, gr-qc/0301087.

[11]  A. Mazumdar,et al.  Corrigendum: Generalized ghost-free quadratic curvature gravity (2014 Class. Quantum Grav. 31 015022) , 2014 .

[12]  A. Koshelev,et al.  On bouncing solutions in non-local gravity , 2012, Physics of Particles and Nuclei.

[13]  B. Dragovich.  On Nonlocal Modified Gravity and Cosmology , 2015, 1508.06584.

[14]  Anupam Mazumdar,et al.  Bouncing universes in string-inspired gravity , 2005, hep-th/0508194.

[15]  A. Starobinsky,et al.  A new type of isotropic cosmological models without singularity , 1980 .

[16]  Sergei D. Odintsov,et al.  Unified cosmic history in modified gravity: From F ( R ) theory to Lorentz non-invariant models , 2010, 1011.0544.

[17]  J. Grujić,et al.  On Modified Gravity , 2012, 1202.2352.

[18]  B. Dragovich,et al.  Cosmology of non-local f(R) gravity , 2015, Filomat.

[19]  A. Mazumdar,et al.  Generalized ghost-free quadratic curvature gravity , 2013, 1308.2319.