Homogeneity and plane-wave limits

José Figueroa-O'Farrill; Simon Philip; Patrick Meessen

doi:10.1088/1126-6708/2005/05/050

Homogeneity and plane-wave limits

José Figueroa-O'Farrill^*
, Simon Philip
, Patrick Meessen

^*Corresponding author for this work

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We explore the plane-wave limit of homogeneous spacetimes. For plane-wave limits along homogeneous geodesics the limit is known to be homogeneous and we exhibit the limiting metric in terms of Lie algebraic data. This simplifies many calculations and we illustrate this with several examples. We also investigate the behaviour of (reductive) homogeneous structures under the plane-wave limit.

Original language	English
Pages (from-to)	1405-1446
Number of pages	42
Journal	Journal of High Energy Physics
Volume	2005
Issue number	5
DOIs	https://doi.org/10.1088/1126-6708/2005/05/050
Publication status	Published - 24 May 2005

Keywords / Materials (for Non-textual outputs)

Differential and Algebraic Geometry
Penrose limit and pp-wave background

Access to Document

10.1088/1126-6708/2005/05/050

Cite this

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title = "Homogeneity and plane-wave limits",

abstract = "We explore the plane-wave limit of homogeneous spacetimes. For plane-wave limits along homogeneous geodesics the limit is known to be homogeneous and we exhibit the limiting metric in terms of Lie algebraic data. This simplifies many calculations and we illustrate this with several examples. We also investigate the behaviour of (reductive) homogeneous structures under the plane-wave limit.",

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AU - Philip, Simon

AU - Meessen, Patrick

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N2 - We explore the plane-wave limit of homogeneous spacetimes. For plane-wave limits along homogeneous geodesics the limit is known to be homogeneous and we exhibit the limiting metric in terms of Lie algebraic data. This simplifies many calculations and we illustrate this with several examples. We also investigate the behaviour of (reductive) homogeneous structures under the plane-wave limit.

AB - We explore the plane-wave limit of homogeneous spacetimes. For plane-wave limits along homogeneous geodesics the limit is known to be homogeneous and we exhibit the limiting metric in terms of Lie algebraic data. This simplifies many calculations and we illustrate this with several examples. We also investigate the behaviour of (reductive) homogeneous structures under the plane-wave limit.

KW - Differential and Algebraic Geometry

KW - Penrose limit and pp-wave background

UR - https://www.scopus.com/pages/publications/21544463987

U2 - 10.1088/1126-6708/2005/05/050

DO - 10.1088/1126-6708/2005/05/050

M3 - Article

AN - SCOPUS:21544463987

SN - 1029-8479

VL - 2005

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EP - 1446

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 5

ER -

Homogeneity and plane-wave limits

Abstract

Keywords / Materials (for Non-textual outputs)

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