# 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.

- Authors:

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

- Publication Date:

- Sponsoring Org.:
- SCOAP3, CERN, Geneva (Switzerland)

- OSTI Identifier:
- 22572151

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2016; Journal Issue: 09; Other Information: PUBLISHER-ID: JCAP09(2016)025; OAI: oai:repo.scoap3.org:17218; cc-by Article funded by SCOAP3. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 License. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANISOTROPY; COSMOLOGICAL INFLATION; GENERAL RELATIVITY THEORY; GRAVITATION; INFLATIONARY UNIVERSE; MATHEMATICAL SOLUTIONS; VECTOR FIELDS

### Citation Formats

```
Lahiri, Sayantani.
```*Anisotropic inflation in Gauss-Bonnet gravity*. United States: N. p., 2016.
Web. doi:10.1088/1475-7516/2016/09/025.

```
Lahiri, Sayantani.
```*Anisotropic inflation in Gauss-Bonnet gravity*. United States. doi:10.1088/1475-7516/2016/09/025.

```
Lahiri, Sayantani. Mon .
"Anisotropic inflation in Gauss-Bonnet gravity". United States.
doi:10.1088/1475-7516/2016/09/025.
```

```
@article{osti_22572151,
```

title = {Anisotropic inflation in Gauss-Bonnet gravity},

author = {Lahiri, Sayantani},

abstractNote = {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.},

doi = {10.1088/1475-7516/2016/09/025},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 09,

volume = 2016,

place = {United States},

year = {Mon Sep 19 00:00:00 EDT 2016},

month = {Mon Sep 19 00:00:00 EDT 2016}

}

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