2021/09/08 by Elisama E. M. Lima, F. A. Brito, Francisco A. Brito
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Applied mathematics #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Dirac (video compression format) #Field (mathematics) #First order #Formalism (music) #Geometry #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Scalar (mathematics) #Scalar field #Stability (learning theory) #Statistical physics #Theoretical physics #Topological defect #gr-qc #hep-th
paper · pdf · doi:10.1016/j.aop.2022.168780
17 pages, 15 figures
arxiv created 2021/09/08 · openalex created_date 2021/09/13 · openalex publication_date 2022/01/30 · arxiv updated 2022/03/02 · openalex updated_date 2026/08/05
In this paper, we investigate novel kinklike structures in a scalar field theory driven by Dirac-Born-Infeld (DBI) dynamics. Analytical features are reached through a first-order formalism and a deformation procedure. The analysis ensures the linear stability of the obtained solutions, and the deformation method permits to detect new topological solutions given some systems of known solutions. The proposed models vary according to the parameters of the theory. However, in a certain parameter regime, their defect profiles are precisely obtained by standard theories. These are the models relatives. Besides that, we investigate the β-Starobinsky potential in the perspective of topological defects; and we have shown that it can support kinklike solutions, for both canonical and non-canonical kinetics. As a result, we propose two new kinds of generalizations on the β-Starobinsky model, by considering the DBI approach. Finally, we explore the main characteristics of such structures in these new scenarios.