No Small Hairs in Anisotropic Power-law Gauss-Bonnet Inflation

Authors

  • Tuan Quoc Do Faculty of Physics, VNU University of Science, Vietnam National University, Hanoi
  • Sonnet Hung Q. Nguyen

DOI:

https://doi.org/10.15625/0868-3166/29/2/13677

Keywords:

Gauss-Bonnet gravity, Inflation, Bianchi type I metric, Cosmic no-hair conjecture

Abstract

We will examine whether anisotropic hairs exist in a string-inspired scalar-Gauss-Bonnet gravity model with the absence of potential of scalar field during the inflationary phase. As a result, we are able to obtain the Bianchi type I power-law solution to this model under the assumption that the scalar field acts as the phantom field, whose kinetic is negative definite. However, the obtained anisotropic hair of this model turns out to be large, which is inconsistent with the observational data. We will therefore introduce a nontrivial coupling between scalar and vector fields such as \(f^2(\phi)F_{\mu\nu}F^{\mu\nu}\) into the scalar-Gauss-Bonnet model with the expectation that the anisotropic hair would be reduced to a small one. Unfortunately, the magnitude of the obtained anisotropic hair is still large. These results indicate that the scalar-Gauss-Bonnet gravity model with the absence of potential of scalar field might not be suitable to generate small anisotropic hairs during the inflationary phase.

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Author Biography

Tuan Quoc Do, Faculty of Physics, VNU University of Science, Vietnam National University, Hanoi

I am a lecturer in Faculty of Physics, VNU University of Science, Vietnam National University, Hanoi

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Published

14-05-2019

How to Cite

Do, T. Q., & Nguyen, S. H. Q. (2019). No Small Hairs in Anisotropic Power-law Gauss-Bonnet Inflation. Communications in Physics, 29(2), 173. https://doi.org/10.15625/0868-3166/29/2/13677

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