摘要
Schwarzschild以及Reissner-Nordstrm度规的系数g_(00)与g_(11)都满足关系式g_(00)g_(11)=-1.本文考虑这个度规系数的关系式在荷电球体内部成立,而且假设电荷密度σ=σ_or~αe^((-2)/2)的情况下,找出荷电球体的电磁质量模型,并给出荷电星体内所包含的总引力质量的计算公式.
The metric cofficients g_(00) and g_(11) of both the Schwarzschild and Reissner-Nordstrm metrics satisfy the relation g_(00)g_(11)=—1. By considering the relation between the metric coefficients to be valid inside a charged perfect-fluid distribution, and supposing the mass density σ=σ_0r~αe^(-λ/2), it is shown that the mass-energy density and the pressure of the distribution are of electromagnetic origin. In the absence of charge, however, there exists no interior solution. The general solution which confirms the same and matches smoothly with the exterior Reissner-Nordstrm metrics is obtained. The total gravitational mass m within a sphere of radius a is given by
出处
《天文学报》
CSCD
北大核心
1989年第1期34-38,共5页
Acta Astronomica Sinica
基金
国家自然科学基金
