引力扭折的离心变形

共形平坦Kaluza-Klein空间、伪/仿复空间形式和广义引力扭结

Conformally flat Kaluza-Klein spaces, pseudo-/para-complex space forms and generalized gravitational kinks

本文研究了任意维共形平坦空间的Kaluza-Klein约化方程。根据时空维数、特征标度和规范场秩，构造了与伪Kahler和准Kahler结构相关的特殊解类，并进行了分类.值得注意的是，秩二的解决方案包括引力扭结连同他们的向心和离心变形。

Deformations of Kink Tails

We study the asymptotic properties of kinks in connection with the deformation procedure. We show that, upon deformation of the field-theoretic model, the asymptotics of kinks can change or remain unchanged, depending on the properties of the deforming function. The cases of both explicit and implicit kinks are considered. In addition, we show that the the deformation procedure can be applied to the important case of implicit kinks. We also prove that for any kink with a power-law tail, the stability potential decreases as the inverse square of the coordinate. The physical consequences of the …

Small deformations of kinks and walls

A Rayleigh-Schrodinger type of perturbation scheme is employed to study weak self-interacting scalar potential perturbations occurring in scalar field models describing 1D domain kinks and 3D domain walls. The solutions for the unperturbed defects are modified by the perturbing potentials. An illustration is provided by adding a cubic potential to the familiar quartic kink potential and solving for the first order correction to the kink solution, using a "slab approximation". A result is the appearance of an asymmetric scalar potential with different, nondegenerate, vacuum values and the subse…

变形快子扭结和快子势

Deforming tachyon kinks and tachyon potentials

本文研究了快子势的形变和快子扭结解。考虑了D1-膜和D3-膜世界体积上具有规范场和快子场的DBI型作用量的形变。通过适当地使用依赖于规范场分量的变形函数，我们对快子势进行变形，得到了一致的快子势。讨论了奇异快子扭结的形变解析以及形变快子势在标量宇宙学中的应用。

Collisions of kinks in deformed $φ^4$ and $φ^6$ models

Two hyperbolic-deformed field theoretic models are discussed. In both of them, due to the effect of specific deformation function on the well known $φ^4$ and $φ^6$ models, their internal structure may change significantly. Unlike the $φ^4$ kinks solutions, which has only one internal mode in addition to its translational mode, the kinks of the hyperbolic-deformed $φ^4$ model can have several internal modes. Moreover, the deformation on the $φ^6$ model has other interesting features, because the kinks of the $φ^6$ model have only a zero mode and the deformation may cause the appearance of inter…

Domain wall thickness and deformations of the field model

We consider the change in the asymptotic behavior of solutions of the type of flat domain walls (i.e., kink solutions) in field-theoretic models with a real scalar field. We show that when the model is deformed by a bounded deforming function, the exponential asymptotics of the corresponding kink solutions remain exponential, while the power-law ones remain power-law. However, the parameters of these asymptotics, which are related to the wall thickness, can change.