Properties of an axisymmetric Lorentzian non-commutative black hole

Abstract

In this work, we start by examining a spherically symmetric black hole within the framework of non-commutative geometry and apply a modified Newman-Janis method to obtain a new rotating solution. We then investigate its consequences, focusing on the horizon structure, ergospheres, and the black hole's angular velocity. Following this, a detailed thermodynamic analysis is performed, covering surface gravity, Hawking temperature, entropy, and heat capacity. We also study geodesic motion, with particular emphasis on null geodesics and their associated radial accelerations. Additionally, the photon sphere and the resulting black hole shadows are explored. Finally, we compute the quasinormal modes for scalar perturbations using the 6th-order WKB approximation.

37 pages, 16 figures and 2 tables

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• Dressing rotating black holes with anisotropic matter
• Estimating the strength of Lorentzian distribution in non-commutative geometry by solar system tests
• Axisymmetric black hole in a non-commutative gauge theory: classical and quantum gravity effects
• Shadows of a Non-Commutative Black Hole under the Influence of a Magnetized Plasma
• Comment on "Thermodynamic properties of Schwarzschild black hole in non-commutative gauge theory of gravity"