Recursive structure in the definitions of gauge-invariant variables for any order perturbations
General Relativity and Quantum Cosmology
2015-06-19 v2 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The construction of gauge-invariant variables for any order perturbations is discussed. Explicit constructions of the gauge-invariant variables for perturbations to 4th order are shown. From these explicit construction, the recursive structure in the definitions of gauge-invariant variables for any order perturbations is found. Through this recursive structure, the correspondence with the fully non-linear exact perturbations is briefly discussed.
Keywords
Cite
@article{arxiv.1403.1004,
title = {Recursive structure in the definitions of gauge-invariant variables for any order perturbations},
author = {Kouji Nakamura},
journal= {arXiv preprint arXiv:1403.1004},
year = {2015}
}
Comments
21 pages, no figure: (v2) one section and additional explanations are added. Accepted for publication to Classical and Quantum Gravity