Nonlinear N-parameter spacetime perturbations:: Gauge transformations -: art. no. 064002

被引：34

作者：

Sopuerta, CF ^{[1
]}

Bruni, M

Gualtieri, L

机构：

[1] Univ Portsmouth, Inst Cosmol & Gravitat, Portsmouth PO1 2EG, Hants, England

[2] Penn State Univ, Inst Gravitat Phys & Geometry, University Pk, PA 16802 USA

[3] Penn State Univ, Ctr Gravitat Wave Phys, University Pk, PA 16802 USA

[4] Univ Roma La Sapienza, Dipartimento Fis G Marconi, I-00185 Rome, Italy

[5] Sez INFN ROMA 1, I-00185 Rome, Italy

来源：

PHYSICAL REVIEW D | 2004年 / 70卷 / 06期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1103/PhysRevD.70.064002

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We introduce N-parameter perturbation theory as a new tool for the study of nonlinear relativistic phenomena. The main ingredient in this formulation is the use of the Baker-Campbell-Hausdorff formula. The associated machinery allows us to prove the main results concerning the consistency of the scheme to any perturbative order. Gauge transformations and conditions for gauge invariance at any required order can then be derived from a generating exponential formula via a simple Taylor expansion. We outline the relation between our novel formulation and previous developments.

引用

页码：064002 / 1

页数：6

共 46 条

[1] Energy-momentum tensor for cosmological perturbations
Abramo, LRW
Brandenberger, RH
Mukhanov, VF
[J]. PHYSICAL REVIEW D, 1997, 56 (06): : 3248 - 3257
[2] Gauge-invariant second-order perturbations and non-Gaussianity from inflation
Acquaviva, V
Bartolo, N
Matarrese, S
Riotto, A
[J]. NUCLEAR PHYSICS B, 2003, 667 (1-2) : 119 - 148
[3] Note on the integration of linear differential equations
Baker, HF
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1905, 2 : 293 - 296
[4] Bourbaki N., 1972, GROUPES ALGEBRES LIE
[5] Two-parameter nonlinear spacetime perturbations: gauge transformations and gauge invariance
Bruni, M
Gualtieri, L
Sopuerta, CF
[J]. CLASSICAL AND QUANTUM GRAVITY, 2003, 20 (03) : 535 - 556
[6] Cosmic no-hair: nonlinear asymptotic stability of de Sitter universe
Bruni, M
Mena, FC
Tavakol, R
[J]. CLASSICAL AND QUANTUM GRAVITY, 2002, 19 (05) : L23 - L29
[7] Perturbations of spacetime: gauge transformations and gauge invariance at second order and beyond
Bruni, M
Matarrese, S
Mollerach, S
Sonego, S
[J]. CLASSICAL AND QUANTUM GRAVITY, 1997, 14 (09) : 2585 - 2606
[8] Second order gauge invariant gravitational perturbations of a Kerr black hole
Campanelli, M
Lousto, CO
[J]. PHYSICAL REVIEW D, 1999, 59 (12)
[9] Campbell J. E., 1896, P LOND MATH SOC, Vs1-28, P381, DOI 10.1112/plms/s1-28.1.381
[10] Chandrasekhar S., 1983, The mathematical theory of black holes

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