Thermodynamics, shadow, and quasinormal modes of AdS Ayón–Beato–García massive black hole
Singh D.V. Upadhyay S. Kumar A. Myrzakulov Y. Myrzakulov K. Sudhanshu H.K.
May 2026Academic Press Inc.
Annals of Physics
2026#488
We investigate the thermodynamics, photon sphere, and dynamical stability of an AdS Ayón–Beato–García (ABG) massive black hole with graviton mass and magnetic charge. The Gibbs free energy exhibits distinct limiting behaviours: it reduces to that of an AdS massive black hole when magnetic charge vanishes, to that of an AdS ABG black hole when graviton mass is zero, and smoothly interpolates to the AdS massive Reissner–Nordström case in the asymptotic regime. Furthermore, the photon sphere and shadow analysis indicate that increasing the graviton mass expands their radii, while increasing the magnetic charge causes contraction, in agreement with earlier studies of black hole spacetimes. Quasinormal mode (QNM) calculations further confirm dynamical stability, as the imaginary part remains negative, ensuring decay of perturbations. Additionally, the real part of the frequency decreases with graviton mass, while the imaginary part initially grows before saturating at higher values. Together, these results provide meaningful insights into the interplay between graviton mass, magnetic charge, and stability, thereby enriching the understanding of black holes in modified gravity theories.
Black hole thermodynamics , Massive gravity , QNMs , Shadow
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Department of Physics, Institute of Applied Science and Humanities, GLA University, Uttar Pradesh, Mathura, 281406, India
School of Physics, Damghan University, P.O. Box 3671641167, Damghan, Iran
Department of Physics, K.L.S. College, Magadh University, Bodh Gaya, Nawada, 805110, India
Department of Physics, Government Degree College, Uttar Pradesh, Unnao, 209801, India
Department of General & Theoretical Physics, L. N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Department of Physics, J.J. College, Gaya, Magadh University, Bihar, Bodh Gaya, 823003, India
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