https://doi.org/10.1140/epjc/s10052-022-10078-6
Regular Article - Theoretical Physics
Anisotropic hyperbolic inflation for a model of two scalar and two vector fields
1
Phenikaa Institute for Advanced Study, Phenikaa University, 12116, Hanoi, Vietnam
2
Faculty of Basic Sciences, Phenikaa University, 12116, Hanoi, Vietnam
3
Institute of Physics, National Yang Ming Chiao Tung University, 30010, Hsin Chu, Taiwan
a
tuan.doquoc@phenikaa-uni.edu.vn
Received:
3
November
2021
Accepted:
29
January
2022
Published online:
9
February
2022
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 a flat space. In this model, one of the scalar fields is assumed to be a radial field, while the other is set as an angular field. Furthermore, both scalar fields will be coupled to two different vector fields, respectively. As a result, we are able to obtain a set of exact Bianchi type I solutions to this model. Stability analysis is also performed to show that this set of anisotropic solutions is indeed stable and attractive during the inflationary phase. This result indicates that the cosmic no-hair conjecture is extensively violated in this anisotropic hyperbolic inflation model.
© The Author(s) 2022
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3