Locally homogeneous pp-waves

被引：6

作者：

Globke, Wolfgang ^{[1
]}

Leistner, Thomas ^{[1
]}

机构：

[1] Univ Adelaide, Sch Math Sci, Adelaide, SA 5005, Australia

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2016年 / 108卷

基金：

澳大利亚研究理事会;

关键词：

Lorentzian manifolds; Killing vector fields; Homogeneous spaces; pp-waves; Plane waves; Special holonomy; PLANE-WAVES; SPACES; HOLONOMY;

D O I：

10.1016/j.geomphys.2016.06.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that every n-dimensional locally homogeneous pp-wave is a plane wave, provided it is indecomposable and its curvature operator, when acting on 2-forms, has rank greater than one. As a consequence we obtain that indecomposable, Ricci-flat locally homogeneous pp-waves are plane waves. This generalises a classical result by Jordan, Ehlers and Kundt in dimension 4. Several examples show that our assumptions on indecomposability and the rank of the curvature are essential. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：83 / 101

页数：19

共 50 条

[41] Gauge theory description of compactified pp-waves
Bertolini, M
de Boer, J
Harmark, T
Imeroni, E
Obers, NA
JOURNAL OF HIGH ENERGY PHYSICS, 2003, (01):
[42] Parallel spinors, pp-waves, and gravitational perturbations
Araneda, Bernardo
CLASSICAL AND QUANTUM GRAVITY, 2023, 40 (02)
[43] Continuous coordinates for all impulsive pp-waves
Podolský, J.
Veselý, K.
Physics Letters, Section A: General, Atomic and Solid State Physics, 1998, 241 (03): : 145 - 147
[44] PP-waves, M-theory and fluxes
Becker, K
Becker, M
Sriharsha, R
NUCLEAR PHYSICS B, 2004, 676 (1-2) : 172 - 188
[45] Noncommutative Einstein-Maxwell pp-waves
Marculescu, S.
Ruiz, F. Ruiz
PHYSICAL REVIEW D, 2006, 74 (10)
[46] PP-waves from BPS supergravity monopoles
Correa, DH
Moreno, EF
Reuillon, S
Schaposnik, FA
PHYSICS LETTERS B, 2003, 552 (3-4) : 280 - 286
[47] Continuous coordinates for all impulsive pp-waves
Podolsky, J
Vesely, K
PHYSICS LETTERS A, 1998, 241 (03) : 145 - 147
[48] Continuous coordinates for all impulsive pp-waves
Podolsky, J.
Vesely, K.
Physics Letters. Section A: General, Atomic and Solid State Physics, 241 (03):
[49] PP-waves and logarithmic conformal field theories
Bakas, I
Sfetsos, K
NUCLEAR PHYSICS B, 2002, 639 (1-2) : 223 - 240
[50] Null multipole particles as sources of pp-waves
Griffiths, J.B.
Podolský, J.
Physics Letters, Section A: General, Atomic and Solid State Physics, 1997, 236 (1-2): : 8 - 10

← 1 2 3 4 5 →