Noether symmetry for Gauss-Bonnet dilatonic gravity

Abstract

Noether symmetry for Gauss-Bonnet-Dilatonic interaction exists for a constant dilatonic scalar potential and a linear functional dependence of the coupling parameter on the scalar field. The symmetry with the same form of the potential and coupling parameter exists all in the vacuum, radiation and matter dominated era. The late time acceleration is driven by the effective cos- mological constant rather than the Gauss-Bonnet term, while the later compensates for the large value of the effective cosmological constant giving a plausible answer to the well-known coincidence problem.

17 pages, 5 figures, in press on GRG

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Cited by in corpus (20)

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• Noether Symmetry Approach in Gauss-Bonnet Cosmology
• Modified Gauss-Bonnet gravity with Lagrange multiplier constraint as mimetic theory
• Noether Symmetries in Gauss-Bonnet-teleparallel cosmology
• Tracing the cosmic history by Gauss-Bonnet gravity
• Viability of Noether symmetry of F(R) theory of gravity
• Topological invariant quintessence
• Noether symmetry in $f(T)$ teleparallel gravity
• Why Noether symmetry of F(R) theory yields three-half power law?
• Studying the Intervention of an Unusual Term in $f(T)$ Gravity via Noether Symmetry
• Noether Symmetries of a Modified Model in Teleparallel Gravity and a New Approach for Exact Solutions
• Exact Cosmological Solutions of $f(R)$ Theories via Hojman Symmetry
• Early universe in view of a modified theory of gravity
• History of cosmic evolution with modified Gauss-Bonnet-dilatonic coupled term
• Equivalent and inequivalent canonical structures of higher order theories of gravity
• Hojman Symmetry in $f(T)$ Theory
• Late-time-accelerated expansion arisen from gauge fields in an anisotropic background and a fruitful trick for Noether's approach
• Perusing Buchbinder--Lyakhovich canonical formalism for Higher-Order Theories of Gravity
• Analyzing Conserved Currents in F(R) theory of gravity