Published September 15, 2004 | Version v1
Journal article Metadata-only

Nonlinear N-parameter spacetime perturbations: Gauge transformations

Creators

  • 1. Institute for Gravitational Physics and Geometry and Center for Gravitational Wave Physics, Penn State University, University Park, Pennsylvania 16802 (United States)
  • 2. Institute of Cosmology and Gravitation, University of Portsmouth, Portsmouth PO1 2EG (United Kingdom)
  • 3. Dipartimento di Fisica 'G. Marconi', Universita di Roma 'La Sapienza' and Sezione INFN ROMA 1, piazzale Aldo Moro 2, I-00185 Rome (Italy)

Description

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

Additional details

Identifiers

DOI
10.1103/PhysRevD.70.064002;
arXiv
arXiv:gr-qc/0306027v3;

Publishing Information

Journal Title
Physical Review. D, Particles Fields
Journal Volume
70
Journal Issue
6
Journal Page Range
p. 064002-064002.6
ISSN
0556-2821
CODEN
PRVDAQ

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
37020416
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
COSMOLOGY; DISTURBANCES; GAUGE INVARIANCE; GENERAL RELATIVITY THEORY; NONLINEAR PROBLEMS; PERTURBATION THEORY; QUANTUM FIELD THEORY; RELATIVISTIC RANGE; SPACE-TIME
Descriptors DEC
ENERGY RANGE; FIELD THEORIES; INVARIANCE PRINCIPLES; RELATIVITY THEORY

Optional Information

Notes
(c) 2004 The American Physical Society