arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2004.07047gr-qc
收藏

广义相对论中带电恒星模型的生成解

Generating solutions for charged stellar models in general relativity

B. V. Ivanov

摘要:

结果表明,Einstein -麦克斯韦方程组中的切向压力、各向异性因子和径向压力表达式可以作为荷电恒星模型的母函数。当还使用能量密度的表达式时,后者可以包含状态方程。其他生成函数是基于共形运动(特别是共形平坦度)的存在条件和嵌入第一类度量的Karmarkar条件,这些度量不依赖于电荷。在所有这些情况下,方程是线性一阶微分方程的度量组件和Riccati方程的其他之一。后者总是可以转化为二阶齐次线性微分方程。带电恒星模型研究中的许多具体例子说明了这些结论。

英文摘要:

It is shown that the expressions for the tangential pressure, the anisotropy factor and the radial pressure in the Einstein - Maxwell equations may serve as generating functions for charged stellar models. The latter can incorporate an equation of state when the expression for the energy density is also used. Other generating functions are based on the condition for the existence of conformal motion (conformal flatness in particular) and the Karmarkar condition for embedding class one metrics, which do not depend on charge. In all these cases the equations are linear first order differential equations for one of the metric components and Riccati equations for the other. The latter may be always transformed into second order homogenous linear differential equations. These conclusions are illustrated by numerous particular examples from the study of charged stellar models.

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。

↑