Non-local curvature and Gauss–Bonnet cosmologies by Noether symmetries
Francesco Bajardi, Salvatore Capozzıello, Daniele Vernieri
Abstract
Abstract Non-local gravity cosmologies are considered under the standard of Noether symmetry approach. In particular, we focus on non-local theories whose gravitational actions depend on curvature and Gauss–Bonnet scalar invariants. Specific functional forms of the related point-like Lagrangians are selected by Noether symmetries, and we solve the corresponding field equations finding out exact cosmological solutions.
Topics & Concepts
Noether's theoremGauss–Bonnet theoremHomogeneous spaceCurvaturePhysicsGravitationMathematical physicsSymmetry (geometry)Theoretical physicsScalar (mathematics)Scalar fieldClassical mechanicsScalar curvatureGaussLagrangianMathematicsEinsteinGeometryQuantum mechanicsCosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsAdvanced Differential Geometry Research