New Cosmological Solutions of a Nonlocal Gravity Model

Abstract

A nonlocal gravity model (2.1) was introduced and considered recently [49], and two exact cosmological solutions in flat space were presented. The first solution is related to some radiation effects generated by nonlocal dynamics on dark energy background, while the second one is a nonsingular time symmetric bounce. In the present paper we investigate other possible exact cosmological solutions and find some the new ones in nonflat space. Used nonlocal gravity dynamics can change background topology. To solve the corresponding eqations of motion, we first look for a solution of the eigenvalue problem $\square (R-4\Lambda )=q(R-4\Lambda ).$ We also discuss possible extension of this model with nonlocal operator symmetric under $\square ⟷{\square }^{-1}$ and its connection with another interesting nonlocal gravity model.

18 pages, submitted to the journal Symmetry

References in corpus (8)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity
• $p$-Adic Mathematical Physics: The First 30 Years
• Generalised Quadratic Curvature, Non-Local Infrared Modifications of Gravity and Newtonian Potentials
• Brief Review of Recent Advances in Understanding Dark Matter and Dark Energy
• On Nonlocal Modified Gravity and its Cosmological Solutions
• Some Cosmological Solutions of a New Nonlocal Gravity Model
• Variations of Infinite Derivative Modified Gravity