2014/03/31 by Kouji Nakamura · 1 citation
Mathematics · Physics and Astronomy · #astro-ph.CO #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/0264-9381/31/13/135013
21 pages, no figure: (v2) one section and additional explanations are added. Accepted for publication to Classical and Quantum Gravity
arxiv created 2014/06/05 · arxiv updated 2015/06/19
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.