2017/05/31 by D. Bazeia, Elisama E. M. Lima, L. Losano
Physics and Astronomy · #Black Holes and Theoretical Physics #Brane cosmology #Classical mechanics #Cosmology and Gravitation Theories #Formalism (music) #Noncommutative and Quantum Gravity Theories #Physics #Scalar field #Statistical physics #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1142/s0217751x17501639
published as Int. J. Mod. Phys. A 32 (2017) 1750163 · 20 pages, 13 figures; version to appear in IJMPA
arxiv created 2017/09/18 · openalex publication_date 2017/09/20 · arxiv updated 2017/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this work, we investigate several models described by a single real scalar field with nonpolynomial interactions, constructed to support topological solutions. We do this using the deformation procedure to introduce a function which allows to construct two distinct families of hyperbolic potentials, controlled by three distinct parameters, in the standard formalism. In this way, the procedure allows us to get analytical solutions, and then investigate the energy density, linear stability and zero mode. We move on and introduce a nonstandard formalism to obtain compact solutions, analytically. We also investigate these hyperbolic models in the braneworld context, considering both the standard and nonstandard possibilities. The results show how to construct distinct braneworld models which are implemented via the first-order formalism and are stable against fluctuation of the metric tensor.