Exotic Spinor Deformation of a Schwarzschild Black Hole: Perturbations and Stability
Abstract
In this work we investigate how exotic spinorial topology modifies the propagation of fermionic modes in the Schwarzschild geometry. By incorporating a topological gradient, ∂μφ, into the Dirac operator through a tetrad deformation, we show that the exotic spinorial sector naturally induces an effective geometric deformation of the Schwarzschild background. The central consequence of this construction is the emergence of a topological impedance surface at rtopo=1/q, which suppresses the radial group velocity of the exotic spinorial modes, yielding a birefringent propagation pattern. Using a spinorial perturbation we discuss the greybody factor and the quasinormal response. The quasinormal spectrum shows the stability of the background metric and the absence of isospectrality for the superpartner potentials.
Related
- Perturbations of a Schwarzschild black hole and Newman-Unti gauge
- Deformation, halo, and bubble structure: A paradigm shift of exotic phenomena in light to medium mass nuclei
- Impact of deformation parameters on the greybody factor and Joule-Thomson expansions of Schwarzschild-AdS black hole
- Scalar quasinormal modes of Schwarzschild–anti-de Sitter black holes: spectral analysis and a formal coefficient deformation
- Exceptional points and the breaking of Schwarzschild isospectrality under local potential perturbations
BibTeX
@misc{filho2026exotic,
title = {{Exotic Spinor Deformation of a Schwarzschild Black Hole: Perturbations and Stability}},
author = {Luís Rodolfo dos Santos Filho and Bertha Cuadros-Melgar},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.30024},
eprint = {2608.30024},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.30024},
}
RIS
TY - UNPB
TI - Exotic Spinor Deformation of a Schwarzschild Black Hole: Perturbations and Stability
AU - Luís Rodolfo dos Santos Filho
AU - Bertha Cuadros-Melgar
PY - 2026
DA - 2026/08/30
PB - arXiv
DO - 10.48550/arxiv.2608.30024
UR - https://arxiv.org/abs/2608.30024
AB - In this work we investigate how exotic spinorial topology modifies the propagation of fermionic modes in the Schwarzschild geometry. By incorporating a topological gradient, ∂_μφ, into the Dirac operator through a tetrad deformation, we show that the exotic spinorial sector naturally induces an effective geometric deformation of the Schwarzschild background. The central consequence of this construction is the emergence of a topological impedance surface at rtopo=1/q, which suppresses the radial group velocity of the exotic spinorial modes, yielding a birefringent propagation pattern. Using a spinorial perturbation we discuss the greybody factor and the quasinormal response. The quasinormal spectrum shows the stability of the background metric and the absence of isospectrality for the superpartner potentials.
ER -