Effects of non-commutative geometry on black hole properties

Abstract

In this study, we investigate the signatures of a non-commutative black hole solution. Initially, we calculate the thermodynamic properties of the system, including entropy, heat capacity, and Hawking radiation. For the latter quantity, we employ two distinct methods: surface gravity and the topological approach. Additionally, we examine the emission rate and remnant mass within this context. Remarkably, the lifetime of the black hole, after reaching its final state due to the evaporation process, is expressed analytically up to a grey-body factor. We estimate the lifetime for specific initial and final mass configurations. Also, we analyze the tensorial quasinormal modes using the 6th-order WKB method. Finally, we study the deflection angle, i.e., gravitational lensing, in both the weak and strong deflection limits.

27 pages, 13 figures and 4 tables

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Cited by in corpus (21)

• The impact of an antisymmetric tensor on charged black holes: evaporation process, geodesics, deflection angle, scattering effects and quasinormal modes
• Particle production induced by a Lorentzian non-commutative spacetime
• A Non-Commutative Kalb-Ramond Black Hole
• Properties of an axisymmetric Lorentzian non-commutative black hole
• Quasinormal Modes, Grebody Factors, and Hawking Radiation Sparsity of Black Holes Influenced by a Global Monopole Charge in Kalb-Ramond Gravity
• Antisymmetric tensor influence on charged black hole lensing phenomena and time delay
• Non-commutativity in Hayward spacetime
• Remarks on a nonlinear electromagnetic extension in AdS Reissner-Nordström spacetime
• Gravitational signatures of a nonlinear electrodynamics in $f(R,T)$ gravity
• Formation of regular black hole from baryonic matter
• Thermodynamics of high order correction for Schwarzschild-AdS black hole in non-commutative geometry
• Gravitational Wave Signatures from Periodic Orbits around a non-commutative inspired black hole surrounded by quintessence
• Regular Black Hole Models in the Transition from Baryonic Matter to Quark Matter
• Quasinormal modes and greybody factor of charged black hole in non-commutative geometry
• Estimating the strength of Lorentzian distribution in non-commutative geometry by solar system tests
• Imprints of non-commutativity on charged black holes
• Spin effects on particle creation and evaporation in $f(R,T)$ gravity
• Light propagation and quasinormal modes of a topologically charged Schwarzschild-Klinkhamer wormhole
• Shadow of a Noncommutative Thin-Shell Gravastar
• Thermodynamics and phase transitions of $\kappa$-deformed Schwarzschild-AdS black holes
• Rotating black hole shadows in metric-affine bumblebee gravity