2011/01/06 by K. Nakamura, Kouji Nakamura, Nakamura, Kouji · 2 citations
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) #Pulsars and Gravitational Waves Research #astro-ph.CO #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1101.1147
41 pages, no figure, Full paper version of [arXiv:1011.5272[gr-qc]]
arxiv created 2011/01/06 · openalex publication_date 2011/01/06 · arxiv updated 2011/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The decomposition of the linear-order metric perturbation is discussed in the context of the higher-order gauge-invariant perturbation theory. We show that the linear order metric perturbation is decomposed into gauge-invariant and gauge-variant parts on the general background spacetime which admits ADM decomposition. This decomposition was an important premise of the general framework of the higher order gauge-invariant perturbation theory proposed in the papers [K. Nakamura, Prog. Theor. Phys. vol.110 (2003), 723; ibid. vol.113 (2005), 481]. This implies that we can develop the higher-order gauge-invariant perturbation theory on generic background spacetime. Remaining issues to complete the general-framework of the higher-order gauge-invariant perturbation theories are also discussed.