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Noncommutative Schwarzschild black hole surrounded by quintessence: Thermodynamics, Shadows and Quasinormal modes
General Relativity and Quantum Cosmology · Submitted 17 Jan 2024
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim After visualizing these results qualitatively, we calculated the quasinormal modes in WKB and Mashhoon approximations and we demonstrated the impacts of quintessence matter and noncommutative spacetime on the whole quantities.
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The abstract, sentence by sentence
{In (Sci. Rep. \textbf{12}, 8516 (2022)), Campos et al studied} the quasinormal modes and shadows of noncommutative Schwarzschild black holes. Since we know that the quintessence matter surrounding black holes has { significant effects} on the black hole quantities, {in this study, we aimed to show this influence by revisiting the same problem in the presence of quintessence matter field. To this end, we first examined the thermodynamics of noncommutative Schwarzschild black holes embedded in quintessence matter using Hawking temperature, entropy, and specific heat functions. After that,} we discussed phase transition and stability { features. We then investigated} the shadow images in the presence of plasma. After visualizing these results qualitatively, we calculated the quasinormal modes in WKB and Mashhoon approximations and we demonstrated the impacts of quintessence matter and noncommutative spacetime on the whole quantities.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | {In (Sci. Rep. | background 1.00 | 0.03 | 0.01 | unclear 0.98 |
| s1 | \textbf{12}, 8516 (2022)), Campos et al studied} the quasinormal modes and shadows of noncommutative Schwarzschild black holes. | background 1.00 | 0.03 | 0.03 | asserted 0.99 |
| s2 | Since we know that the quintessence matter surrounding black holes has { significant effects} on the black hole quantities, {in this study, we aimed to show this influence by revisiting the same problem in the presence of quintessence matter field. | contribution 0.80 | 0.33 | 0.10 | asserted 0.99 |
| s3 | To this end, we first examined the thermodynamics of noncommutative Schwarzschild black holes embedded in quintessence matter using Hawking temperature, entropy, and specific heat functions. | method 0.71 | 0.95 | 0.05 | asserted 0.94 |
| s4 | After that,} we discussed phase transition and stability { features. | contribution 0.73 | 0.91 | 0.04 | asserted 0.62 |
| s5 | We then investigated} the shadow images in the presence of plasma. | contribution 0.78 | 0.93 | 0.04 | asserted 0.95 |
| s6 | After visualizing these results qualitatively, we calculated the quasinormal modes in WKB and Mashhoon approximations and we demonstrated the impacts of quintessence matter and noncommutative spacetime on the whole quantities. | contribution 0.45 | 0.96 | 0.56 | asserted 1.00 |
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The paper
Original abstract
{In (Sci. Rep. \textbf{12}, 8516 (2022)), Campos et al studied} the quasinormal modes and shadows of noncommutative Schwarzschild black holes. Since we know that the quintessence matter surrounding black holes has { significant effects} on the black hole quantities, {in this study, we aimed to show this influence by revisiting the same problem in the presence of quintessence matter field. To this end, we first examined the thermodynamics of noncommutative Schwarzschild black holes embedded in quintessence matter using Hawking temperature, entropy, and specific heat functions. After that,} we discussed phase transition and stability { features. We then investigated} the shadow images in the presence of plasma. After visualizing these results qualitatively, we calculated the quasinormal modes in WKB and Mashhoon approximations and we demonstrated the impacts of quintessence matter and noncommutative spacetime on the whole quantities.
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References
How the literature uses it
10 arXiv papers cite this in 10 sentences
Papers citing it · 4 sentences without a confident label
Uses its method or tool 1 paper
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As mentioned above, the effective potential exhibits well-behaved characteristics, which justifies the use of the WKB semi-classical approximation to compute the corresponding quasi-normal mode (QNM) frequencies (see Refs. [ref] and references therein).
Black hole physics within $f(R)$ gravity: Quasi-normal spectra and greybody factors · The WKB approximation · 0.85
Cites it as background 5 papers
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As a result, a substantial number of studies have focused on the QNMs for various models of quantum-corrected black holes [ref] .
Long-lived Quasinormal modes around regular black holes and wormholes in Covariant Effective Quantum Gravity · Introduction · 0.91
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Recently various Kiselev BHs have been proposed and widely studied [ref]
Kiselev Black holes in quantum fluctuation modified gravity · Introduction · 0.88
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Different aspects of BH thermodynamics in Moyal spacetime have been extensively investigated using these deformed BH solutions [ref] .
Thermodynamics and phase transitions of $\kappa$-deformed Schwarzschild-AdS black holes · Introduction · 0.95
What it cites
Cites as background 6 papers
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Recently, in [ref] authors examined the QNMs of the Schwarzschild-like black holes.
Quasinormal Modes in Noncommutative Schwarzschild black holes · Introduction · 0.96
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In general, the QNMs can be derived within two methodologies: perturbing the metric [ref] , or coupling fields to the spacetime and considering the interactions between the black hole and the fields [ref] .
Gravitational probe of quantum spacetime · Quasinormal modes · 0.90
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In general, the QNMs can be derived within two methodologies: perturbing the metric [ref] , or coupling fields to the spacetime and considering the interactions between the black hole and the fields [ref] .
Metric perturbations in Noncommutative Gravity · Quasinormal modes · 0.90
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