GENERAL RELATIVISTIC FLUID SPHERES
GENERAL RELATIVISTIC FLUID SPHERES
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DOI：
10.1103/physrev.116.1027
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发表时间：
1959-01-01
期刊：
影响因子：
--
通讯作者：
BUCHDAHL, HA
中科院分区：
文献类型：
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作者：
BUCHDAHL, HA
在本文的第一部分，将关于Schwarzschild内解的某些众所周知的结果推广到更一般的静态流体球上，并以不等式的形式将g44的边值与仅涉及质量浓度和中心能量密度与中心压强之比的某些表达式进行了比较。根据一个著名的经典结果，导出了一个适用于相对论区域的中心压强的极小定理。还考虑了涉及固有能量和势能的不等式，以及引入物理半径代替坐标半径。给出了场方程组的无奇异性初等代数解，并与某些不等式所给出的极限进行了比较。在第二部分中，回答了在对称引力收缩过程中，初始能量为W0的物质在完全色散时发出的总辐射量是否会超过W0。
In Part I of this paper certain well known results concerning the Schwarzschild interior solution are generalized to more general static fluid spheres in the form of inequalities comparing the boundary value of g 44 with certain expressions involving only the mass concentration and the ratio of the central energy density to the central pressure. A minimal theorem appropriate to the relativistic domain is derived for the central pressure, corresponding to a well-known classical result. Inequalities involving the proper energy and the potential energy are also considered, as is the introduction of the physical radius in place of the coordinate radius. A singularity-free elementary algebraic solution of the field equations is presented and exact values obtained from it compared with the limits prescribed by some of the inequalities. In Part II an answer is given to the question whether the total amount of radiation emitted during the symmetrical gravitational contraction of an amount of matter whose initial energy, at complete dispersion, is W 0 can ever exceed W 0.