Work

Near-horizon aspects of black holes in quantum spacetime

Year: 2024

Type: conference-paper

Abstract: We give a short introduction to the formalism of noncommutative (twisted) differential geometry that is used to derive the equations of motion for the gravitational perturbation of the Schwarzschild black hole in quantized spacetime. Special attention is given to quantum spacetime arising from r − φ noncommutativity. Tortoise coordinate and near-horizon regions of the effective potentials are analyzed for both polar and axial modes. By carefully examining the associated Schrödinger-type equations, we provide the asymptotic solutions at the horizon and illustrate some differences between the polar and axial modes. These findings give further insight into the polar-axial isospectrality violation in the presence of the quantum structure of spacetime.

Source: Journal of Physics Conference Series

DOI: 10.1088/1742-6596/2912/1/012032

Authors: Nikola Herceg, Tajron Jurić, A. Naveena Kumara, Andjelo Samsarov, Ivica Smolić

Institutions: Ruđer Bošković Institute, University of Zagreb

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Hrvatska Zaklada za Znanost

Awards: Search for Quantum spacetime in Black Hole QNM spectrum and Gamma Ray Bursts, G6462038999