2011/03/16 by K. Nakamura, Kouji Nakamura, Nakamura, Kouji
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Electrodynamics and Casimir Effect #astro-ph.CO #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1103.3092
8 pages, no figure
arxiv created 2011/03/16 · openalex publication_date 2011/03/16 · arxiv updated 2011/03/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Construction of the gauge-invariant variables for the linear metric perturbation, which was proposed in the paper [K. Nakamura, arXiv:1101.1147], is discussed through an alternative approach. Our starting point of the construction of the gauge-invariant variables is an non-trivial non-local decomposition of the linear metric perturbation. Assuming the existence of some Green functions, we reproduce results in the above paper. This supports the consistency of the result and implies that one can develop the general-relativistic higher-order gauge-invariant perturbation theory on general background spacetime.