STATIONARY NONCANONICAL SOLUTIONS OF EINSTEIN VACUUM FIELD EQUATIONS

被引：19

作者：

HOFFMAN, RB

机构：

[1] Department of Physics, Temple University, Philadelphia, PA

[2] Department of Physics, Franklin and Marshall College, Lancaster, PA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1969年 / 10卷 / 05期

关键词：

D O I：

10.1063/1.1664926

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The complete set of nonflat normal-hyperbolic solutions of the Einstein vacuum field equations is obtained for the metric tensor defined by the quadratic differential form ds2 = α du2 - 2γ du dv - β dv2 - eψ(dx2 + dz 2) subject to the condition that αβ + γ2 is constant. These solutions are characterized by the existence of a null hypersurface-orthogonal Killing vector, which is also a four-fold degenerate Debever vector with vanishing covariant derivative, and therefore are a special case of the class of plane-fronted gravitational waves.

引用

页码：953 / &

共 6 条

[1] On Riemann spaces conformal to Euclidean space [J].