论文标题
Schwarzschild内部溶液和相应的Buchdahl极限的电磁扩展
An electromagnetic extension of the Schwarzschild interior solution and the corresponding Buchdahl limit
论文作者
论文摘要
我们希望为带电恒星构建一个模型，以作为均匀密度Schwarzschild内部解决方案的概括。我们采用了Vaidya和Tikekar Ansatz [{\ It Astrophys。 Astron。} {\ bf 3}（1982）325]对于一个度量电位和电场之一，以这样的方式选择，当将其关闭时，将公制减少到Schwarzschild。这将电荷分布与Vaidya-Tikekar参数（$ k $）相关，表明嵌入四维欧几里得空间时，指示三维空间的偏差形式的球形。根据相对论充电球体作为带电恒星的内部所需的所有物理条件，对模型进行了检查。我们还获得并讨论了布赫达尔紧凑型结合的带电类似物。
We wish to construct a model for charged star as a generalization of the uniform density Schwarzschild interior solution. We employ the Vaidya and Tikekar ansatz [{\it Astrophys. Astron.} {\bf 3} (1982) 325] for one of the metric potentials and electric field is chosen in such a way that when it is switched off the metric reduces to the Schwarzschild. This relates charge distribution to the Vaidya-Tikekar parameter, $k$, indicating deviation form sphericity of three dimensional space when embedded into four dimensional Euclidean space. The model is examined against all the physical conditions required for a relativistic charged fluid sphere as an interior to a charged star. We also obtain and discuss charged analogue of the Buchdahl compactness bound.
