Friday, September 28, 2012

1209.6098 (Kouji Nakamura)

MG13 proceedings: Construction of gauge-invariant variables for
linear-order metric perturbations on an arbitrary background spacetime
   [PDF]

Kouji Nakamura
An outline of a proof of the decomposition of the linear metric perturbation into gauge-invariant and gauge-variant parts on an arbitrary background spacetime is discussed through an exlicit construction of gauge-invariant and gauge-variant parts. Although this outline is incomplete, yet, due to our assumptions, we propose a conjecture which states that the linear metric perturbation is always decomposed into its gauge-invariant and gageu-variant parts. If this conjecture is true, we can develop the higher-order gauge-invariant perturbation theory on an arbitrary background spacetime.
View original: http://arxiv.org/abs/1209.6098

No comments:

Post a Comment