2021/02/28 by Kouji Nakamura
Physics and Astronomy · #gr-qc #hep-th
paper · pdf · doi:10.31526/lhep.2021.215
published as Letters in High Energy Physics vol.2021 (2021), 215 · 10 pages, no figure. arXiv admin note: text overlap with arXiv:2102.00830 (v1), arXiv:1403.1004; 11 pages no figure. The whole presentations are changed and references are re-organized and added, although the main assertion of this paper is unchanged. (v2); introduction is changed, references are added. (v3)
arxiv created 2021/06/29 · arxiv updated 2021/11/02
Formal solutions of any-order mass, angular-momentum, dipole perturbations on the Schwarzschild background spacetime are derived in a gauge-invariant manner. Once we accept the proposal in [K. Nakamura, Class. Quantum Grav. \bf 38 (2021), 145010.], we can extend the gauge-invariant linear perturbation theory on the Schwarzschild background spacetime including the monopole (l=0) and dipole (l=1) modes to any-order perturbations of the same background spacetime through the arguments in [K. Nakamura, Class. Quantum Grav. \bf 31 (2014), 135013.]. As a result of this resolution, we reached to a simple derivation of the above formal solutions of any order.