Non-Local Curvature and Gauss-Bonnet Cosmologies by Noether Symmetries

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.

arXiv comment12 pages, 46 references

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Cited by in corpus (12)

• Teleparallel Gravity: From Theory to Cosmology
• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Non-Local Gravity Cosmology: an Overview
• Noether Symmetries and Quantum Cosmology in Extended Teleparallel Gravity
• Exact Solutions in Higher-Dimensional Lovelock and $Ad{S}_5$ Chern-Simons Gravity
• Non-Local Curvature Gravity Cosmology via Noether Symmetries
• Renormalizability of alternative theories of gravity: differences between power counting and entropy argument
• Logarithmic corrections to Newtonian gravity and Large Scale Structure
• General analysis of Noether symmetries in Horndeski gravity
• Noether Symmetry Approach in Eddington-inspired Born-Infeld gravity
• Spinning (A)dS Black Holes with Slow-Rotation Approximation in Dynamical Chern-Simons Modified Gravity
• Extended Theories of Electrodynamics in $f(R)$ Gravity