Neuser J, Thiemann T (2025)
Publication Type: Journal article
Publication year: 2025
Book Volume: 2025
Article Number: 001
Journal Issue: 1
DOI: 10.1088/1475-7516/2025/01/001
In this second paper of our series we focus on the classical pure gravity sector of spherically symmetric black hole perturbations and expand the reduced Hamiltonian to second order. To compare our manifestly gauge invariant formalism with established results in the literature we have to translate our results derived in Gullstrand-Painlevé gauge to the gauges used in those works. After several canonical transformations we expectedly find exact agreement with the Hamiltonian given by Moncrief which generates the Regge-Wheeler and Zerilli equations of motion for the linear axial (often denoted odd) and polar (often denoted even) perturbations respectively. This confirms the validity of our method which includes backreaction and easily generalises to higher orders.
APA:
Neuser, J., & Thiemann, T. (2025). Quantum Field Theory of black hole perturbations with backreaction. Part II. Spherically symmetric 2nd order Einstein sector. Journal of Cosmology and Astroparticle Physics, 2025(1). https://doi.org/10.1088/1475-7516/2025/01/001
MLA:
Neuser, Jonas, and Thomas Thiemann. "Quantum Field Theory of black hole perturbations with backreaction. Part II. Spherically symmetric 2nd order Einstein sector." Journal of Cosmology and Astroparticle Physics 2025.1 (2025).
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