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Effects of non-commutative geometry on black hole properties

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arxiv 2406.12015 v2 pith:RX5E4KSY submitted 2024-06-17 gr-qc hep-th

classification gr-qchep-th
keywords blackholedeflectionfinallifetimemassnon-commutativeproperties
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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.

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  1. Formation of regular black hole from baryonic matter

    gr-qc 2025-02 conditional novelty 4.0 of 10

    A family of regular black hole collapse solutions is built by imposing a de Sitter core and matching to a Husain exterior; the shadow radius grows with the barotropic parameter alpha.

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