Formalizing Anisotropic Inflation in Modified Gravity

Abstract

Motivated by the fact that the pre-inflationary era may evolve in an exotic way, in this work we formalize anisotropic evolution in the context of modified gravity, focusing on pre-inflationary and near the vicinity of the inflationary epochs. We specialize on specific metrics like Bianchi and Taub and we formalize the inflationary theory in vacuum $F(R)$ gravity, in $F(R)$ gravity with an extra scalar field and in Gauss-Bonnet gravity. We discuss the qualitative effects of the anisotropies on the evolution of the Universe and also we consider several specific solutions, like the de Sitter solution, in both the isotropic and anisotropic contexts. Furthermore, several exotic modified gravity cosmological solutions, like the ones which contain finite time singularities, are also discussed in brief.

arXiv commentNPB Accepted

References in corpus (26)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?
• Inflationary Cosmology
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• The Nature of Primordial Fluctuations from Anisotropic Inflation
• Primordial Power Spectra from Anisotropic Inflation
• Imprints of anisotropic inflation on the cosmic microwave background
• Simple Types of Anisotropic Inflation
• Anisotropic Constant-roll Inflation
• Designing Anisotropic Inflation with Form Fields
• Triple unification of inflation, dark energy, and dark matter in two-scalar-field cosmology
• The loop quantum cosmology bounce as a Kasner transition
• Integral $F(R)$ Gravity and Saddle Point Condition as a Remedy for the $H_0$-tension
• Pre-Inflationary Bounce Effects on Primordial Gravitational Waves of $f(R)$ Gravity
• Anisotropic constant-roll inflation with noncommutative model and swampland conjectures
• Singularity-free and non-chaotic inhomogeneous Mixmaster in polymer representation for the volume of the universe
• Anisotropic power-law inflation for a model of two scalar and two vector fields
• CMB imprints of non-canonical anisotropic inflation
• Local gravity test of unified models of inflation and dark energy in $f(R)$ gravity

Cited by in corpus (11)

• f(R) Gravity in an Ellipsoidal Universe
• Observation constraints on scalar field cosmological model in Anisotropic universe
• Anisotropic Born-Infeld-f(R) Cosmologies
• Anisotropic power-law inflation for models of non-canonical scalar fields non-minimally coupled to a two-form field
• Viable Anisotropic Inflation and Reheating in the Tachyon Model
• Anisotropic cosmology using observational datasets: exploring via machine learning approaches
• Anisotropic solutions for $R^2$ gravity model with a scalar field
• Anisotropic cosmology in $q$-deformed entropic gravity
• Anisotropic power-law inflation for the Sáez-Ballester theory non-minimally coupled to a vector field
• Observational Viability of Anisotropic Inflation Revisited
• Power-law Bianchi type I inflation with multiple vector fields