Noncommutative Schwarzschild black hole surrounded by quintessence: Thermodynamics, Shadows and Quasinormal modes

Noncommutative Schwarzschild black hole surrounded by quintessence: Thermodynamics, Shadows and Quasinormal modes

April 11, 2024 | B. Hamil, B. C. Lütfüoğlu
This paper investigates the thermodynamics, shadows, and quasinormal modes (QNMs) of a noncommutative Schwarzschild black hole surrounded by quintessence matter. The study revisits the problem of Campos et al. (2022) by incorporating the effects of quintessence matter on black hole properties. The thermodynamics of the black hole is analyzed using Hawking temperature, entropy, and specific heat functions. The results show that noncommutative effects eliminate the divergence problem of the Hawking temperature, and the black hole temperature rises during evaporation, reaching a peak before rapidly decreasing to zero. The entropy function is found to be modified by noncommutative effects, while quintessence matter does not alter its form. The heat capacity function is complex and requires numerical analysis to study black hole stability. The presence of quintessence matter leads to different stability scenarios, with some cases showing only unstable black holes and others showing both unstable and stable states. The Gibbs free energy function is also analyzed, revealing that the turning point depends on both quintessence matter and noncommutative effects. The study also investigates the black hole shadow in the presence of plasma. The effective potential is calculated, and the impact of quintessence matter on the potential and shadows is shown. Numerical calculations are performed to determine the photon radius and impact parameters. The shadow radius is found to depend on the quintessence state parameter and noncommutative effects. The QNMs of the black hole are studied using the WKB and Mashhoon approximations. The results show that the presence of quintessence matter damps the oscillations of the black hole, affecting both the real and imaginary parts of the frequencies. The QNMs obtained using the WKB and Mashhoon methods are compared, showing good agreement for specific parameters. In conclusion, the study demonstrates that the presence of quintessence matter and noncommutative effects significantly influence the thermodynamics, shadows, and QNMs of a noncommutative Schwarzschild black hole. The results provide insights into the behavior of black holes in noncommutative spacetime and the effects of quintessence matter on their properties.This paper investigates the thermodynamics, shadows, and quasinormal modes (QNMs) of a noncommutative Schwarzschild black hole surrounded by quintessence matter. The study revisits the problem of Campos et al. (2022) by incorporating the effects of quintessence matter on black hole properties. The thermodynamics of the black hole is analyzed using Hawking temperature, entropy, and specific heat functions. The results show that noncommutative effects eliminate the divergence problem of the Hawking temperature, and the black hole temperature rises during evaporation, reaching a peak before rapidly decreasing to zero. The entropy function is found to be modified by noncommutative effects, while quintessence matter does not alter its form. The heat capacity function is complex and requires numerical analysis to study black hole stability. The presence of quintessence matter leads to different stability scenarios, with some cases showing only unstable black holes and others showing both unstable and stable states. The Gibbs free energy function is also analyzed, revealing that the turning point depends on both quintessence matter and noncommutative effects. The study also investigates the black hole shadow in the presence of plasma. The effective potential is calculated, and the impact of quintessence matter on the potential and shadows is shown. Numerical calculations are performed to determine the photon radius and impact parameters. The shadow radius is found to depend on the quintessence state parameter and noncommutative effects. The QNMs of the black hole are studied using the WKB and Mashhoon approximations. The results show that the presence of quintessence matter damps the oscillations of the black hole, affecting both the real and imaginary parts of the frequencies. The QNMs obtained using the WKB and Mashhoon methods are compared, showing good agreement for specific parameters. In conclusion, the study demonstrates that the presence of quintessence matter and noncommutative effects significantly influence the thermodynamics, shadows, and QNMs of a noncommutative Schwarzschild black hole. The results provide insights into the behavior of black holes in noncommutative spacetime and the effects of quintessence matter on their properties.
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