Anisotropic inflation in Gauss-Bonnet gravity

Abstract

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, gauge coupling function and the Gauss-Bonnet coupling are exponential functions. We show that anisotropy becomes proportional to two slow-roll parameters of the theory and hence gets enhanced in presence of quadratic curvature corrections. The stability analysis reveals that anisotropic power-law solutions remain stable over a substantially large parameter region.

25 pages, 7 figures, typos corrected, published in JCAP

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• Planck 2018 results. VII. Isotropy and Statistics of the CMB
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• Anisotropic non-Gaussianity from vector field perturbations
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• Exact Inflation in Einstein-Gauss-Bonnet Gravity
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• Anisotropic power-law inflation for a conformal-violating Maxwell model
• Gauss-Bonnet models with cosmological constant and non zero spatial curvature in $D=4$
• Anisotropic constant-roll inflation for the Dirac-Born-Infeld model
• Anisotropic power-law inflation for a model of two scalar and two vector fields
• Further Refining Swampland dS Conjecture in Mimetic f(G) Gravity
• Stable small spatial hairs in a power-law k-inflation model
• General aspects of Gauss-Bonnet models without potential in dimension four
• CMB imprints of non-canonical anisotropic inflation
• Anisotopic inflation with a non-abelian gauge field in Gauss-Bonnet gravity
• Anisotropic inflation in non-minimal kinetic coupling model
• Anisotropic hyperbolic inflation for a model of two scalar and two vector fields
• Viable Anisotropic Inflation and Reheating in the Tachyon Model
• Gauss-Bonnet Cosmology: large-temperature behaviour and bounds from Gravitational Waves
• Observational Viability of Anisotropic Inflation Revisited
• Power-law Bianchi type I inflation with multiple vector fields