Effects of non-commutative geometry on black hole properties

Effects of non-commutative geometry on black hole properties

June 19, 2024 | A. A. Araújo Filho, J. R. Nascimento, A. Yu. Petrov, P. J. Porfírio, Ali Övgün
This study investigates the properties of a non-commutative black hole, focusing on its thermodynamic characteristics, evaporation process, quasinormal modes, and gravitational lensing. The authors calculate the Hawking temperature using both surface gravity and topological methods, examining entropy and heat capacity. They estimate the remnant mass and lifetime of the black hole, considering the grey-body factor. The quasinormal modes are analyzed using the 6th-order WKB method, and the deflection angle is calculated in both weak and strong deflection limits. The results show that non-commutativity affects the black hole's thermodynamics, evaporation rate, and gravitational lensing behavior. The study provides a comprehensive analysis of these effects, contributing to the understanding of non-commutative black holes.This study investigates the properties of a non-commutative black hole, focusing on its thermodynamic characteristics, evaporation process, quasinormal modes, and gravitational lensing. The authors calculate the Hawking temperature using both surface gravity and topological methods, examining entropy and heat capacity. They estimate the remnant mass and lifetime of the black hole, considering the grey-body factor. The quasinormal modes are analyzed using the 6th-order WKB method, and the deflection angle is calculated in both weak and strong deflection limits. The results show that non-commutativity affects the black hole's thermodynamics, evaporation rate, and gravitational lensing behavior. The study provides a comprehensive analysis of these effects, contributing to the understanding of non-commutative black holes.
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