整体正规Schwarzschild时空的Newman-Penrose表述

THE DESCRIPTION OF GLOBALLY REGULAR SCHWARZS-CHILD SPACE-TIME IN A NEWMAN-PENROSE FORMALISM

分别在Schwarzschild和Kruskal坐标中给出整体正规Schwarzschild时空的Newman-Penrose表述,结果表明这种时空有整体代数性质,它是Petrov D型,对Weyl张量的标架分量、自旋系数和零矢量的行为也作了讨论。

The desciption of globally regular SchwarzschiId space-time in a Newman-Penrose formalism is given in the Schwarzschild coordinate and the Kruskal coordinate respectively. It is shown that this space-time has the global algebraic property. Globally it is of Petrov type-D. The behaviours of tetrad components of the Weyl tensor, the spin coefficients and null vectors are also discussed.