Regular Article - Theoretical Physics
Anisotropic power-law inflation for a model of two scalar and two vector fields
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 Chiao Tung University, 30010, Hsin Chu, Taiwan
4 Institute of Physics, National Yang Ming Chiao Tung University, 30010, Hsin Chu, Taiwan
Accepted: 12 June 2021
Published online: 20 June 2021
Inspired by an interesting counterexample to the cosmic no-hair conjecture found in a supergravity-motivated model recently, we propose a multi-field extension, in which two scalar fields are allowed to non-minimally couple to two vector fields, respectively. This model is shown to admit an exact Bianchi type I power-law solution. Furthermore, stability analysis based on the dynamical system method is performed to show that this anisotropic solution is indeed stable and attractive if both scalar fields are canonical. Nevertheless, if one of the two scalar fields is phantom then the corresponding anisotropic power-law inflation turns unstable as expected.
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