Early universe in view of a modified theory of gravity

Abstract

We study the quantum evolution of the early universe, its semi-classical analogue together with inflationary regime, in view of a generalized modified theory of gravity. The action is built by supplementing the non-minimally coupled scalar-tensor theory of gravity with scalar curvature squared term and a Gauss-Bonnet-dilatonic coupled term. It is generalized, since all the parameters are treated as arbitrary functions of the scalar field. It is interesting to explore the fact that instead of considering additional flow parameters, an effective potential serves the purpose of finding inflationary parameters. The dilaton stabilization issue appears here as a problem with reheating. Addition of a cosmological constant term alleviates the problem, and inflation is effectively driven by the vacuum energy density. Thus Gauss-Bonnet term might play a significant role in describing late-time cosmic evolution.

arXiv comment26 pages, 4 figures. arXiv admin note: text overlap with arXiv:2004.04332

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• Probing the early universe with a generalized action
• The issue of Branched Hamiltonian in F(T) Teleparallel Gravity
• Canonical equivalence, quantization and anisotropic inflation in higher order theory of gravity
• Inflation and cosmological evolution with $F(R,G)$ gravity theory
• Probing symmetric teleparallel gravity in the early universe
• Vulnerability of f(Q) gravity theory and a possible resolution
• Quadratic theory of gravity with a scalar field and type I Shapovalov wave spacetimes
• Perusing Buchbinder--Lyakhovich canonical formalism for Higher-Order Theories of Gravity
• Conflict between some higher-order curvature invariant terms
• Wave-like exact models with symmetry of spatial homogeneity in the quadratic theory of gravity with a scalar field