Elliptic fibrations associated with the Einstein space-times

被引：2

作者：

Nurowski, P ^{[1
]}

机构：

[1] Univ Trieste, Dipartimento Sci Matemat, Trieste, Italy

[2] Univ London Kings Coll, Dept Math, London WC2R 2LS, England

[3] Univ Warsaw, Wydzial Fiz, Inst Fiz Teoret, Warsaw, Poland

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1998年 / 39卷 / 10期

关键词：

D O I：

10.1063/1.532545

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Given a conformally nonflat Einstein space-time we define a fibration (P) over tilde over it. The fibers of this fibration are elliptic curves (two-dimensional tori! or their degenerate counterparts. Their topology depends on the algebraic type of the Weyl tensor of the Einstein metric. The fibration (P) over tilde is a double branched cover of the bundle of null direction over the space-time and is equipped with six linearly independent one-forms which satisfy a certain relatively simple system of equations. (C) 1998 American Institute of Physics. [S0022-2488(98)01210-9].

引用

页码：5481 / 5490

页数：10