各向异性内应力作用下非旋转相对论球的破裂与稳定性
Cracking and Stability of Non-Rotating Relativistic Spheres with Anisotropic Internal Stresses
摘要：
在广义相对论中研究了具有各向异性内应力的静态不带电球体的稳定性。压力各向异性对恒星结构的稳定性起着重要的作用。结果表明，径向剖面的应力各向异性可以被认为是决定潜在的稳定/不稳定的区域。最后，对两个已知的相对论恒星模型的潜在稳定/不稳定区域进行了研究。
英文摘要：
The stability of static uncharged spheres with anisotropic internal stresses is studied in general relativity. It has been noticed that pressure anisotropy plays an important role for stability of stellar structure. It is shown that radial profile of the stress anisotropy can be considered to decide potentially stable/unstable regions. Finally, pontentially stable/unstable regions of two known models of relativistic star have been examined.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
