A theoretical study of cylindrical black-hole solutions in two higher-curvature modified-gravity frameworks, f(R) gravity and Ricci-Inverse gravity. It derives the scalar and vector perturbation equations and the effective potential, computes the quasinormal-mode spectrum to probe stability and the imprint of each theory's coupling constants and effective cosmological constant, and then applies the Generalized Uncertainty Principle to obtain quantum-corrected Hawking temperature and entropy via scalar-particle tunnelling, showing measurable deviations from the classical results and possible observational tests of these theories.
This paper investigates scalar perturbations and quasinormal modes (QNMs) associated with cylindrical black holes constructed within the frameworks of $f(\mathcal{R})$-gravity and Ricci-Inverse ($\ma…