# Gauss-Bonnet inflation

@article{Kanti2015GaussBonnetI, title={Gauss-Bonnet inflation}, author={Panagiota Kanti and Radouane Gannouji and Naresh Dadhich}, journal={Physical Review D}, year={2015}, volume={92}, pages={041302} }

We consider an Einstein-Scalar-Gauss-Bonnet gravitational theory, and argue that at early times the Ricci scalar can be safely ignored. We then demonstrate that the pure scalar-Gauss-Bonnet theory, with a quadratic coupling function, naturally supports inflationary -- de Sitter -- solutions. During inflation, the scalar field decays exponentially and its effective potential remains always bounded. The theory contains also solutions where these de Sitter phases possess a natural exit mechanism…

## 89 Citations

### k-Gauss-Bonnet inflation

- Physics, Mathematics
- 2021

We propose a novel k-Gauss-Bonnet inflationary model, in which a kinetic term of scalar field is allowed to non-minimally couple to the Gauss-Bonnet topological invariant in the absence of a…

### Anisotropic inflation in Gauss-Bonnet gravity

- Physics
- 2016

We study anisotropic inflation with Gauss-Bonnet correction in presence of a massless vector field. In this scenario, exact anisotropic power-law inflation is realized when the inflaton potential,…

### Inflation driven by Einstein-Gauss-Bonnet gravity

- PhysicsPhysical Review D
- 2018

We have explicitly demonstrated that scalar coupled Gauss-Bonnet gravity in four dimension can have non-trivial effects on the early inflationary stage of our universe. In particular, we have shown…

### Exact inflation in Einstein–Gauss–Bonnet gravity

- Physics
- 2017

We study cosmological inflation in the Einstein gravity model with the additionally included Gauss–Bonnet term nonminimally coupled to a scalar field. We prove that inflationary solutions of…

### Gauss–Bonnet term corrections in scalar field cosmology

- PhysicsThe European Physical Journal C
- 2020

The influence of non-minimal coupling of a scalar field and the Gauss–Bonnet term on the inflationary stage of evolution of the universe is investigated in this paper. The main cosmological effects…

### Inflation with a quartic potential in the framework of Einstein-Gauss-Bonnet gravity

- Physics
- 2020

We investigate inflationary dynamics in the framework of the Einstein-Gauss-Bonnet gravity. In the model under consideration, the inflaton field is non-minimally coupled to the Gauss-Bonnet curvature…

### Viable inflation in scalar-Gauss-Bonnet gravity and reconstruction from observational indices

- PhysicsPhysical Review D
- 2018

In this paper the focus is on inflationary dynamics in the context of Einstein Gauss-Bonnet gravitational theories. We investigate the implications of the slow-roll condition on the slow-roll indices…

### On Bouncing and Nonsingular Solutions in Einstein-scalar-Gauss-Bonnet Cosmology

- Physics, Mathematics
- 2017

It is generically believed that higher-order curvature corrections to the Einstein-Hilbert action might cure the curvature singularities that plague general relativity. Here we consider…

### Early-universe cosmology in Einstein-scalar-Gauss-Bonnet gravity

- Physics
- 2017

Theoretical arguments and cosmological observations suggest that Einstein's theory of general relativity needs to be modified at high energies. One of the best motivated higher-curvature extensions…

### Existence of solutions with a horizon in pure scalar-Gauss-Bonnet theories

- PhysicsPhysical Review D
- 2020

We consider the Einstein-scalar-Gauss-Bonnet theory and assume that, at regimes of large curvature, the Ricci scalar may be ignored compared to the quadratic Gauss-Bonnet term. We then look for…

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