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 explores the thermodynamics, shadows, and quasinormal modes (QNMs) of a noncommutative Schwarzschild black hole surrounded by quintessence matter. The authors first examine the thermodynamics, including Hawking temperature, entropy, and specific heat functions, and discuss phase transitions and stability. They then investigate the shadow images and calculate the QNMs using the WKB and Mashhoon approximations, demonstrating the impact of quintessence matter and noncommutative spacetime on these quantities. The study reveals that the presence of quintessence matter and noncommutativity affects the black hole's mass, temperature, entropy, and stability, with the noncommutative geometry eliminating the divergence problem in the Hawking temperature. The shadow radius and impact parameters are also influenced by the quintessence state parameter and noncommutativity. The QNMs are found to be damped by the quintessence matter, and the results are compared between the WKB and Mashhoon approximations. The study provides insights into the behavior of black holes in noncommutative spacetime with quintessence matter.This paper explores the thermodynamics, shadows, and quasinormal modes (QNMs) of a noncommutative Schwarzschild black hole surrounded by quintessence matter. The authors first examine the thermodynamics, including Hawking temperature, entropy, and specific heat functions, and discuss phase transitions and stability. They then investigate the shadow images and calculate the QNMs using the WKB and Mashhoon approximations, demonstrating the impact of quintessence matter and noncommutative spacetime on these quantities. The study reveals that the presence of quintessence matter and noncommutativity affects the black hole's mass, temperature, entropy, and stability, with the noncommutative geometry eliminating the divergence problem in the Hawking temperature. The shadow radius and impact parameters are also influenced by the quintessence state parameter and noncommutativity. The QNMs are found to be damped by the quintessence matter, and the results are compared between the WKB and Mashhoon approximations. The study provides insights into the behavior of black holes in noncommutative spacetime with quintessence matter.
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