Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 31, Issue 13, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/31/13/135013
Keywords
metric perturbations; higher order; gauge invariance
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The construction of gauge-invariant variables for any order perturbations is discussed. Explicit constructions of the gauge-invariant variables for perturbations to the forth order are shown. From these explicit constructions, 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.
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