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Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole

2024/12/11 by A. A. Araújo Filho, N. Heidari, Filho, A. A. Araújo +3 · 12 citations
Mathematics · Physics and Astronomy · #Accretion (finance) #Accretion disc #Astronomy #Astrophysics #Astrophysics and Cosmic Phenomena #Black hole (networking) #Computer science #Computer security #Galaxy #Geodesic #Geometry #Gravitation #Gravitational lens #Mathematics #Neutrino #Neutrino Physics Research #Noncommutative and Quantum Gravity Theories #Particle physics #Physics #Strong gravitational lensing

paper · pdf · doi:10.48550/arxiv.2412.08369

published in arXiv (Cornell University) (Cornell University)

openalex publication_date 2024/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

This paper explores gravitational phenomena associated with a non-commutative black hole. Geodesic equations are derived, and a thin accretion disk is analyzed to model the black hole shadow image, considering an optically thin, radiating, and infalling gas. Retrolensing effects are examined to trace photon emission configurations, while gravitational lensing is investigated through weak and strong deflection limits, with lensing equations and observables applied to Sagittarius A*. The study also includes calculations of time delay, energy deposition rate from neutrino annihilation, phase and probability of neutrino oscillation, and neutrino gravitational lensing.

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