# Anisotopic inflation with a non-abelian gauge field in Gauss-Bonnet gravity

## Abstract

In presence of Gauss-Bonnet corrections, we study anisotropic inflation aided by a massless SU(2) gauge field where both the gauge field and the Gauss-Bonnet term are non-minimally coupled to the inflaton. In this scenario, under slow-roll approximations, the anisotropic inflation is realized as an attractor solution with quadratic forms of inflaton potential and Gauss-Bonnet coupling function. We show that the degree of anisotropy is proportional to the additive combination of two slow-roll parameters of the theory. The anisotropy may become either positive or negative similar to the non-Gauss-Bonnet framework, a feature of the model for anisotropic inflation supported by a non-abelian gauge field but the effect of Gauss-Bonnet term further enhances or suppresses the generated anisotropy.

- Authors:

- ZARM, University of Bremen, Am Falltrum, 28359 Bremen (Germany)

- Publication Date:

- OSTI Identifier:
- 22680099

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2017; Journal Issue: 01; Other Information: Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ADDITIVES; ANISOTROPY; APPROXIMATIONS; COMPUTERIZED SIMULATION; CORRECTIONS; COUPLING; FIELD THEORIES; GAUGE INVARIANCE; GRAVITATION; INFLATIONARY UNIVERSE; INFLATONS; SU-2 GROUPS

### Citation Formats

```
Lahiri, Sayantani, E-mail: sayantani.lahiri@gmail.com.
```*Anisotopic inflation with a non-abelian gauge field in Gauss-Bonnet gravity*. United States: N. p., 2017.
Web. doi:10.1088/1475-7516/2017/01/022.

```
Lahiri, Sayantani, E-mail: sayantani.lahiri@gmail.com.
```*Anisotopic inflation with a non-abelian gauge field in Gauss-Bonnet gravity*. United States. doi:10.1088/1475-7516/2017/01/022.

```
Lahiri, Sayantani, E-mail: sayantani.lahiri@gmail.com. Sun .
"Anisotopic inflation with a non-abelian gauge field in Gauss-Bonnet gravity". United States. doi:10.1088/1475-7516/2017/01/022.
```

```
@article{osti_22680099,
```

title = {Anisotopic inflation with a non-abelian gauge field in Gauss-Bonnet gravity},

author = {Lahiri, Sayantani, E-mail: sayantani.lahiri@gmail.com},

abstractNote = {In presence of Gauss-Bonnet corrections, we study anisotropic inflation aided by a massless SU(2) gauge field where both the gauge field and the Gauss-Bonnet term are non-minimally coupled to the inflaton. In this scenario, under slow-roll approximations, the anisotropic inflation is realized as an attractor solution with quadratic forms of inflaton potential and Gauss-Bonnet coupling function. We show that the degree of anisotropy is proportional to the additive combination of two slow-roll parameters of the theory. The anisotropy may become either positive or negative similar to the non-Gauss-Bonnet framework, a feature of the model for anisotropic inflation supported by a non-abelian gauge field but the effect of Gauss-Bonnet term further enhances or suppresses the generated anisotropy.},

doi = {10.1088/1475-7516/2017/01/022},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 01,

volume = 2017,

place = {United States},

year = {Sun Jan 01 00:00:00 EST 2017},

month = {Sun Jan 01 00:00:00 EST 2017}

}