A higher dimensional generalization of the geodesic part of the Goldberg-Sachs theorem

被引：30

作者：

Durkee, Mark ^{[1
]}

Reall, Harvey S. ^{[1
]}

机构：

[1] Univ Cambridge, DAMTP, Ctr Math Sci, Cambridge CB3 0WA, England

来源：

CLASSICAL AND QUANTUM GRAVITY | 2009年 / 26卷 / 24期

关键词：

D O I：

10.1088/0264-9381/26/24/245005

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In more than four spacetime dimensions, a multiple Weyl-aligned null direction (WAND) need not be geodesic. It is proved that any higher dimensional Einstein spacetime admitting a non-geodesic multiple WAND also admits a geodesic multiple WAND. All five-dimensional Einstein spacetimes admitting a non-geodesic multiple WAND are determined.

引用

页数：14

共 11 条

[1] Classification of the Weyl tensor in higher dimensions and applications [J].

Coley, A. .

CLASSICAL AND QUANTUM GRAVITY, 2008, 25 (03)

[2] Classification of the Weyl tensor in higher dimensions [J].

Coley, A ;

Milson, R ;

Pravda, V ;

Pravdová, A .

CLASSICAL AND QUANTUM GRAVITY, 2004, 21 (07) :L35-L41

[3] Type II Einstein spacetimes in higher dimensions [J].

Durkee, Mark .

CLASSICAL AND QUANTUM GRAVITY, 2009, 26 (19)

[4] Particle and light motion in a space-time of a five-dimensional rotating black hole [J].

Frolov, V ;

Stojkovic, D .

PHYSICAL REVIEW D, 2003, 68 (06)

[5] Algebraically special axisymmetric solutions of the higher-dimensional vacuum Einstein equation [J].

Godazgar, Mahdi ;

Reall, Harvey S. .

CLASSICAL AND QUANTUM GRAVITY, 2009, 26 (16)

[6]

Goldberg J. N., 1962, Acta Phys. Pol. Suppl., V22, P13

[7] AdS-CFT correspondence and a new positive energy conjecture for general relativity [J].

Horowitz, GT ;

Myers, RC .

PHYSICAL REVIEW D, 1999, 59 (02)

[8] Type D Einstein spacetimes in higher dimensions [J].

Pravda, V. ;

Pravdova, A. ;

Ortaggio, M. .

CLASSICAL AND QUANTUM GRAVITY, 2007, 24 (17) :4407-4428

[9] Bianchi identities in higher dimensions [J].

Pravda, V ;

Pravdová, A ;

Coley, A ;

Milson, R .

CLASSICAL AND QUANTUM GRAVITY, 2004, 21 (12) :2873-2897

[10]

Stephani H., 2009, Exact solutions of Einstein's field equations

← 1 2 →