高维时空中静态荷电球体的一个严格内解

EXACT INTERIOR SOLUTION FOR A STATIC CHAGED SPHERE IN THE HIGHER DIMENSIONAL SPACE TIME

高维时空中Schwarzschild度规和Reissner-Nordstrom度规的系数g_(00)与g_(11)都满足关系式g_(00)与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_0r^be^(-λ(r)/z)的情况下,给出高维球对称时空中静态荷电的一个精确内解。

In the higher-dimensional space-time, the metric coefficients g_(00) and g_(11) of both the Schwarzschild and Reissner-Nordstrom metrics satify the relation g_(00)g_(11) =-1. By considering that rhe relation between the metric coefficients is valid inside a charged perfect-fluid distribution, and assuming the mass density σ = σ_0r^b e^(-λ(r)/2), we obtain an exact interior solution far a static charged sphere in the higher-dimensional space-time.