Type II Einstein spacetimes in higher dimensions

被引：10

作者：

Durkee, Mark ^{[1
]}

机构：

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

来源：

CLASSICAL AND QUANTUM GRAVITY | 2009年 / 26卷 / 19期

基金：

英国科学技术设施理事会;

关键词：

D O I：

10.1088/0264-9381/26/19/195010

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

This paper shows that many of the results derived by Pravda et al ( 2007 Class. Quantum Grav. 24 4407-28) for higher-dimensional type D Einstein spacetimes can be generalized to all Einstein spacetimes admitting a multiple Weyl-aligned null direction ( WAND), the main new result being the extension to include the type II case. Examples of type D Einstein spacetimes admitting non-geodesic multiple WANDs are given in all dimensions greater than 4.

引用

页数：10

共 8 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] Algebraically special axisymmetric solutions of the higher-dimensional vacuum Einstein equation [J].

Godazgar, Mahdi ;

Reall, Harvey S. .

CLASSICAL AND QUANTUM GRAVITY, 2009, 26 (16)

[4] Robinson-Trautman spacetimes in higher dimensions [J].

Podolsky, Jiri ;

Ortaggio, Marcello .

CLASSICAL AND QUANTUM GRAVITY, 2006, 23 (20) :5785-5797

[5] General Kundt spacetimes in higher dimensions [J].

Podolsky, Jiri ;

Zofka, Martin .

CLASSICAL AND QUANTUM GRAVITY, 2009, 26 (10)

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

Pravda, V. ;

Pravdova, A. ;

Ortaggio, M. .

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

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

Pravda, V ;

Pravdová, A ;

Coley, A ;

Milson, R .

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

[8]

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

← 1 →