The first-order symmetry operator on gravitational perturbations in the 5D Myers–Perry spacetime with equal angular momenta | Zendy

Masataka Tsuchiya | Zendy; Tsuyoshi Houri | Zendy; ChulMoon Yoo | Zendy

Open Access

The first-order symmetry operator on gravitational perturbations in the 5D Myers–Perry spacetime with equal angular momenta

Author(s) -

Masataka Tsuchiya,

Tsuyoshi Houri,

ChulMoon Yoo

Publication year - 2021

Publication title -

progress of theoretical and experimental physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.887

H-Index - 53

ISSN - 2050-3911

DOI - 10.1093/ptep/ptab017

Subject(s) - physics , spacetime , mathematical physics , operator (biology) , spacetime symmetries , spherically symmetric spacetime , classical mechanics , kerr metric , stationary spacetime , linearized gravity , perturbation (astronomy) , gravitational field , quantum field theory in curved spacetime , quantum mechanics , schwarzschild radius , quantum gravity , quantum , biochemistry , chemistry , repressor , transcription factor , gene

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 the 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.

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