Non-local curvature gravity cosmology via Noether symmetries
Adriano Acunzo, Francesco Bajardi, Salvatore Capozzıello
Abstract
We consider extensions of General Relativity based on the non-local function f(R,□−1R), where R is the Ricci curvature scalar and the non-locality is due to the term □−1R. We focus on cosmological minisuperspaces and select viable models by the Noether Symmetry Approach. Then we find viable exact solutions pointing out the role of non-locality in cosmology.
Topics & Concepts
PhysicsNoether's theoremCosmologyScalar curvatureGeneral relativityHomogeneous spaceCurvatureTheoretical physicsMathematical physicsLocalityf(R) gravitySymmetry (geometry)GravitationScalar (mathematics)Ricci curvatureClassical mechanicsLagrangianQuantum gravityAstrophysicsGeometryQuantum mechanicsPhilosophyLinguisticsMathematicsQuantumCosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsAdvanced Differential Geometry Research