发表机构
University of KwaZulu-Natal; Durban University of Technology(夸祖鲁-纳塔尔大学; 德班理工大学)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文研究存在电磁场与宇宙学常数时初始静态辐射相对论性恒星的坍缩动力学,通过相平面分析发现折叠分岔与非零电荷及宇宙学常数相关,澄清早期结果并扩展研究至一般解空间,深化了对无剪切构型坍缩时间演化的理解。
AI 中文摘要
我们研究存在电磁场与宇宙学常数时辐射相对论性恒星的动力学,该模型的演化源自初始静态构型。系统的时间行为由非线性二阶方程描述,我们通过相平面分析对其进行研究。结果表明,在包含所有物理参数的一般情形下,会出现与非零电荷及宇宙学常数相关的折叠分岔。我们的研究澄清了早期结果,并将研究扩展至一般解空间,从而对坍缩过程中无剪切构型的时间演化获得了更全面的认识。
英文摘要
We study the dynamics of a radiating relativistic star in the presence of the electromagnetic field and the cosmological constant. The evolution of the model originates from an initially static configuration. The temporal behaviour of the system is governed by a nonlinear second order equation which is studied using a phase plane analysis. We show that in the general case, with all physical parameters present, fold bifurcations arise which are related to nonzero charge and cosmological constant. Our treatment clarifies earlier results and we extend our study to the general solution space. We obtain a more comprehensive understanding of the temporal evolution for a shear-free configuration during collapse.
Comments18 pages, 8 figures