Deflection Angle of Regular Black Holes in Nonlinear Electrodynamics: Gauss-Bonnet Theorem, Time Delay, Shadow, and Greybody Bound

2025/09/01 by Susmita Sarkar, Sarkar, Susmita, Nayan Sarkar +7 · 1 citation
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Pulsars and Gravitational Waves Research

paper · pdf · doi:10.48550/arxiv.2509.02633

openalex publication_date 2025/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we study the weak gravitational lensing in the background of regular, static, spherically symmetric black hole solutions of Einstein's standard general relativity coupled with nonlinear electrodynamics. The weak deflection angles are estimated in the context of vacuum medium and plasma medium using the Gauss-Bonnet method. The obtained deflection angles decrease as the impact parameter b and the charge parameter q increase, while the deflection angles increase gradually with increasing values of the black hole mass m. Moreover, the effect of a plasma medium has increased the deflection angle than the vacuum medium scenario. We also estimate the time delay in the field of the described black holes that vanishes for m = q =0, i.e., the absence of the black holes. The shadow cast of the present black holes is also analyzed with respect to the impact q and mass m, which ensures that the shadow region shrinks for increasing values of q and expands for increasing values of m. In addition, we estimated the rigorous bounds of the greybody factor T_b for the described black holes and the graphical analysis ensures that the increasing charge parameter q decreases the rigorous bound of T_b and the increasing mass m increases the rigorous bound of T_b.

Citations

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Cited by

• Radial integral reformulation of the Gauss-Bonnet weak deflection angle at finite distance

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