Higher-Order Gauss-Bonnet Cosmology

Abstract

We study cosmological models derived from higher-order Gauss-Bonnet gravity $F(R,G)$ by using the Lagrange multiplier approach without assuming the presence of additional fields with the exception of standard perfect fluid matter. The presence of Lagrange multipliers reduces the number of allowed solutions. We need to introduce compatibility conditions of the FRW equations, which impose strict restrictions on the metric or require the introduction of additional exotic matter. Several classes of $F(R,G)$ models are generated and discussed.

8 pages, to appear in Astro. Space Sci

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Cited by in corpus (12)

• Anisotropic Compact Stars in $f(G)$ Gravity
• Modified Gauss-Bonnet gravity with Lagrange multiplier constraint as mimetic theory
• Nonsingular Universes in Gauss-Bonnet Gravity's Rainbow
• Reissner-Nordström Black Holes in Mimetic $F(R)$ Gravity
• Tolman-Oppenheimer-Volkoff Equations in Modified Gauss-Bonnet Gravity
• A Note on Schwarzschild de Sitter Black Holes in Mimetic $F(R)$ Gravity
• Noether symmetries and boundary terms in extended Teleparallel gravity cosmology
• Kinetic Scalar Curvature Extended $f(R)$ Gravity
• Generalized second law of thermodynamics in QCD ghost f(G) gravity
• First order formalism for thick branes in modified gravity with Lagrange multiplier
• Inflation and cosmological evolution with $F(R,G)$ gravity theory
• Conflict between some higher-order curvature invariant terms