Anisotropic hyperbolic inflation

  title={Anisotropic hyperbolic inflation},
  author={Chong Chen and J. Soda},
  journal={Journal of Cosmology and Astroparticle Physics},
  • Chong Chen, J. Soda
  • Published 9 June 2021
  • Physics
  • Journal of Cosmology and Astroparticle Physics
Hyperbolic inflation is an extension of the slow-roll inflation in multi-field models. We extend hyperbolic inflation by adding a gauge field and find four-type attractor solutions: slow-roll inflation, hyperbolic inflation, anisotropic slow roll inflation, and anisotropic hyperbolic inflation. We perform the stability analysis with the dynamical system method. We also study the transition behaviors of solutions between anisotropic slow roll inflation and anisotropic hyperbolic inflation. Our… 
Anisotropic hyperbolic inflation for a model of two scalar and two vector fields
In this paper, we extend a recent proposed model of two scalar and two vector fields to a hyperbolic inflation scenario, in which the field space of two scalar fields is a hyperbolic space instead of
Geometric Structure of Multi-Form-Field Isotropic Inflation and Primordial Fluctuations
  • Chong-Bin Chen, J. Soda
  • Physics
  • 2022
An inflationary scenario is expected to be embedded into an ultraviolet (UV) complete theory such as string theory. Quasi-heavy fields are ubiquitous in UV complete theory. The effect of these heavy
Cosmic no-hair conjecture and inflation with an SU(3) gauge field
Pengyuan Gao, Kazufumi Takahashi, Asuka Ito, 4, 5 and Jiro Soda Department of Physics, Kobe University, Kobe 657-8501, Japan Center for Gravitational Physics, Yukawa Institute for Theoretical


Hyperbolic Inflation.
A model of cosmological inflation is proposed in which field space is a hyperbolic plane. The inflaton never slow-rolls, and instead orbits the bottom of the potential, buoyed by a centrifugal force.
Anisotropic inflation in Gauss-Bonnet gravity
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,
Anisotropic constant-roll Inflation
We study constant-roll inflation in the presence of a gauge field coupled to an inflaton. By imposing the constant anisotropy condition, we find new exact anisotropic constant-roll inflationary
Statistical anisotropy from anisotropic inflation
We review an inflationary scenario with the anisotropic expansion rate. An anisotropic inflationary universe can be realized by a vector field coupled with an inflaton, which can be regarded as a
Inflation with Multi-Vector-Hair: The Fate of Anisotropy
We study inflation with multiple vector fields. In the presence of non-trivial couplings between the inflaton and the vector fields, it turns out that no-hair?conjecture does not hold and vector hair
Anisotropic inflation with non-abelian gauge kinetic function
We study an anisotropic inflation model with a gauge kinetic function for a non-abelian gauge field. We find that, in contrast to abelian models, the anisotropy can be either a prolate or an oblate
Anisotropic Power-law Inflation:A counter example to the cosmic no-hair conjecture
It is widely believed that anisotropy in the expansion of the universe will decay exponentially fast during inflation. This is often referred to as the cosmic no-hair conjecture. However, we find a
Inflationary universe with anisotropic hair.
A universal relation between the anisotropy and a slow-roll parameter of inflation is found and has observational implications and gives a counterexample to the cosmic no-hair conjecture.
Anisotropic power-law inflation
We study an inflationary scenario in supergravity model with a gauge kinetic function. We find exact anisotropic power-law inflationary solutions when both the potential function for an inflaton and
Designing Anisotropic Inflation with Form Fields
We study inflation with anisotropic hair induced by form fields. In four dimensions, the relevant form fields are gauge (one-form) fields and two-form fields. Assuming the exponential form of