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Parity violating spectral dynamics of black holes in dynamical Chern-Simons gravity

Han-Wen Hu1,2,*, Chen Lan3,†, and Zong-Kuan Guo1,2,4,‡

  • *Contact author: huhanwen@itp.ac.cn
  • †Contact author: stlanchen@126.com
  • ‡Contact author: guozk@itp.ac.cn
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Phys. Rev. D 114, 024034 – Published 14 July, 2026

DOI: https://doi.org/10.1103/w95l-5hcw

Abstract

We study how environmentally driven spectral instabilities of quasinormal modes respond to parity violating gravitoscalar coupling in black holes. Focusing on dynamical Chern-Simons gravity as a paradigm for parity violation, we perturb the Schwarzschild background with a localized potential bump. Our analysis reveals three distinctive phenomena absent in general relativity: (1) branch reconnections in the complex frequency plane, (2) a counterintuitive mode stabilization that delays overtaking transitions, and (3) scalar mode dominance emerging at intermediate coupling strengths. These frequency domain features show how comparatively weak static sector differences manifest as distinct dynamical signatures, thereby linking parity violating black hole perturbations with non-Hermitian spectral physics. Our results provide a frequency domain characterization of parity violating coupling and motivate future targeted ringdown studies of modified gravity.

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Information

Phys. Rev. D 114, 024034– Published 14 July, 2026
  • Received 11 December 2025
  • Accepted 26 June 2026
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