HAMILTONIAN-FORMALISM AND GAUGE-INVARIANCE FOR LINEAR PERTURBATIONS IN INFLATION

被引：95

作者：

LANGLOIS, D

机构：

[1] Département d'Astrophysique Relativiste et de Cosmologie-CNRS, Observatoire de Paris-Meudon

来源：

CLASSICAL AND QUANTUM GRAVITY | 1994年 / 11卷 / 02期

关键词：

D O I：

10.1088/0264-9381/11/2/011

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A Hamiltonian treatment of gauge-invariant cosmological perturbations is presented. In this framework the gauge-invariant perturbations as well as their evolution equations are obtained with minimal work, thanks to the use of a Hamilton-Jacobi technique which takes advantage of the gauge invariance of general relativity. This formalism is applied to perturbations around spatially flat and closed Friedmann-Robertson-Walker universes with the matter being given by a scalar field, both for the gauge-invariant 'scalar' perturbations and gravitational waves.

引用

页码：389 / 407

页数：19

共 15 条

[1] GAUGE-INVARIANT COSMOLOGICAL PERTURBATIONS [J].

BARDEEN, JM .

PHYSICAL REVIEW D, 1980, 22 (08) :1882-1905

[2] HAMILTONIAN-FORMULATION FOR MULTI-CONSTITUENT RELATIVISTIC PERFECT FLUIDS [J].

COMER, GL ;

LANGLOIS, D .

CLASSICAL AND QUANTUM GRAVITY, 1993, 10 (11) :2317-2327

[3] PERTURBATIONS OF EXTENDED INFLATION [J].

DERUELLE, N ;

GUNDLACH, C ;

LANGLOIS, D .

PHYSICAL REVIEW D, 1992, 45 (10) :R3301-R3303

[4] ON THE QUANTIZATION OF PERTURBATIONS IN INFLATION [J].

DERUELLE, N ;

GUNDLACH, C ;

POLARSKI, D .

CLASSICAL AND QUANTUM GRAVITY, 1992, 9 (01) :137-148

[5]

DERUELLE N, 1993, ORIGIN STRUCTURE UNI

[6] ON HAMILTONIAN-SYSTEMS WITH 1ST-CLASS CONSTRAINTS [J].

GOLDBERG, J ;

NEWMAN, ET ;

ROVELLI, C .

JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (10) :2739-2743

[7]

GOLDSTEIN H, CLASSICAL MECHANICS

[8]

GRISHCHUK LP, 1975, ZH EKSP TEOR FIZ, V40, P409

[9]

GUNDLACH C, IN PRESS COSMOLOGICA

[10] ORIGIN OF STRUCTURE IN THE UNIVERSE [J].

HALLIWELL, JJ ;

HAWKING, SW .

PHYSICAL REVIEW D, 1985, 31 (08) :1777-1791

← 1 2 →