The gravitational field equations of a twisted skyrmion string: numerical solution

International Conference on Science and Applied Science (Engineering and Educational Science) 2016

物理学;工业技术;教育

Hadi, Miftachul^1,2,4,5 ; Anderson, Malcolm^1 ; Husein, Andri^3

Department of Mathematics, Universiti Brunei Darussalam, Negara, Brunei^1

Physics Research Centre, Indonesian Institute of Sciences (LIPI), Indonesia^2

Physics Department, Post Graduate Program, Sebelas Maret University, Indonesia^3

School of Physics, Ulsan National Institute of Science and Technology (UNIST), Korea, Republic of^4

Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, China^5

关键词: Cylindrical symmetry;    Einstein field equations;    Gravitational field equations;    Lagrangian system;    Nonlinear sigma model;    Numerical calculation;    Numerical solution;    Ordinary differential equation (ODE);   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/795/1/012006/pdf
DOI  :  10.1088/1742-6596/795/1/012006

来源: IOP

【 摘 要 】

We study nonlinear sigma model, especially Skyrme model with twist: twisted Skyrmion string where twist term, mkz, is indicated in vortex solution. To add gravity, we replace gμvin Lagrangian system with a space-time metric tensor, gμvwhich in view of the time-independence and cylindrical symmetry of the assumed vortex solution is taken to be a function of r alone. We use ode45 for numerical calculation, i.e. a tool box in Matlab to solve coupled Einstein field equations which have ordinary differential equations (ODE) form.