2020/11/08 by Masataka Tsuchiya, Tsuyoshi Houri, Tsuchiya, Masataka +4
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Kerr metric #Linearized gravity #Mathematical physics #Operator (biology) #Perturbation (astronomy) #Physics #Pulsars and Gravitational Waves Research #Quantum #Quantum field theory in curved spacetime #Quantum gravity #Quantum mechanics #Schwarzschild radius #Spacetime #Spacetime symmetries #Spherically symmetric spacetime #Stationary spacetime #gr-qc
paper · pdf · doi:10.48550/arxiv.2011.03973
published in arXiv (Cornell University) (Cornell University) · 37 pages
openalex publication_date 2020/11/08 · arxiv created 2021/02/02 · arxiv updated 2021/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It has been revealed that the first order symmetry operator for the linearized Einstein equation on a vacuum spacetime can be constructed from a Killing-Yano 3-form. This might be used to construct all or part of solutions to the field equation. In this paper, we perform a mode decomposition of a metric perturbation on the Schwarzschild spacetime and the Myers-Perry spacetime with equal angular momenta in 5 dimensions, and investigate the action of the symmetry operator on specific modes concretely. We show that on such spacetimes, there is no transition between the modes of a metric perturbation by the action of the symmetry operator, and it ends up being the linear combination of the infinitesimal transformations of isometry.