13 Feb 2024 | Kh. Jafarzade1*, B. Eslam Panah1,2,3†, and M. E. Rodrigues4,5 ‡
The paper presents an exact solution for a phantom black hole in the context of dRGT massive gravity, a modified theory of gravity that includes a massive graviton. The authors investigate the thermodynamic properties of this black hole, including the first law of thermodynamics and the Smarr relation in the extended phase space. They also examine the local and global stability of the black hole, considering the effects of massive parameters on the stability regions. Additionally, the optical properties of the black hole, such as the shadow shape, energy emission rate, and deflection angle, are studied. The paper further explores the quasinormal modes (QNMs) of the black hole using the WKB approximation. The results show that the massive parameters significantly influence the stability and optical properties of the black hole, with specific values of these parameters leading to different phases of stability and optical behavior.The paper presents an exact solution for a phantom black hole in the context of dRGT massive gravity, a modified theory of gravity that includes a massive graviton. The authors investigate the thermodynamic properties of this black hole, including the first law of thermodynamics and the Smarr relation in the extended phase space. They also examine the local and global stability of the black hole, considering the effects of massive parameters on the stability regions. Additionally, the optical properties of the black hole, such as the shadow shape, energy emission rate, and deflection angle, are studied. The paper further explores the quasinormal modes (QNMs) of the black hole using the WKB approximation. The results show that the massive parameters significantly influence the stability and optical properties of the black hole, with specific values of these parameters leading to different phases of stability and optical behavior.