Equatorial and Polar Quasinormal Modes and Quasiperiodic Oscillations of Quantum Deformed Kerr Black Hole
In this paper, we focus on the relation between quasinormal modes (QNMs) and a rotating black hole shadow. As a specific example, we consider the quantum deformed Kerr black hole obtained via Newman–Janis–Azreg-Aïnou algorithm. In particular, using the geometric-optics correspondence between the par...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-03-01
|
| Series: | Universe |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2218-1997/8/4/210 |
| _version_ | 1827626460951609344 |
|---|---|
| author | Kimet Jusufi Mustapha Azreg-Aïnou Mubasher Jamil Qiang Wu |
| author_facet | Kimet Jusufi Mustapha Azreg-Aïnou Mubasher Jamil Qiang Wu |
| author_sort | Kimet Jusufi |
| collection | DOAJ |
| description | In this paper, we focus on the relation between quasinormal modes (QNMs) and a rotating black hole shadow. As a specific example, we consider the quantum deformed Kerr black hole obtained via Newman–Janis–Azreg-Aïnou algorithm. In particular, using the geometric-optics correspondence between the parameters of a QNMs and the conserved quantities along geodesics, we show that, in the eikonal limit, the real part of QNMs is related to the Keplerian frequency for equatorial orbits. To this end, we explore the typical shadow radius for the viewing angles, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>θ</mi><mn>0</mn></msub><mo>=</mo><mi>π</mi><mo>/</mo><mn>2</mn></mrow></semantics></math></inline-formula>, and obtained an interesting relation in the case of viewing angle <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>θ</mi><mn>0</mn></msub><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula> (or equivalently <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>θ</mi><mn>0</mn></msub><mo>=</mo><mi>π</mi></mrow></semantics></math></inline-formula>). Furthermore we have computed the corresponding equatorial and polar modes and the thermodynamical stability of the quantum deformed Kerr black hole. We also investigate other astrophysical applications such as the quasiperiodic oscillations and the motion of S2 star to constrain the quantum deforming parameter. |
| first_indexed | 2024-03-09T12:54:59Z |
| format | Article |
| id | doaj.art-8452c65cf6ad4ee9bcc73e41d4479416 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-09T12:54:59Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-8452c65cf6ad4ee9bcc73e41d44794162023-11-30T22:01:26ZengMDPI AGUniverse2218-19972022-03-018421010.3390/universe8040210Equatorial and Polar Quasinormal Modes and Quasiperiodic Oscillations of Quantum Deformed Kerr Black HoleKimet Jusufi0Mustapha Azreg-Aïnou1Mubasher Jamil2Qiang Wu3Physics Department, State University of Tetovo, Ilinden Street nn, 1200 Tetovo, North MacedoniaEngineering Faculty, Bağlıca Campus, Başkent University, Ankara 06790, TurkeyInstitute for Theoretical Physics and Cosmology, Zhejiang University of Technology, Hangzhou 310023, ChinaInstitute for Theoretical Physics and Cosmology, Zhejiang University of Technology, Hangzhou 310023, ChinaIn this paper, we focus on the relation between quasinormal modes (QNMs) and a rotating black hole shadow. As a specific example, we consider the quantum deformed Kerr black hole obtained via Newman–Janis–Azreg-Aïnou algorithm. In particular, using the geometric-optics correspondence between the parameters of a QNMs and the conserved quantities along geodesics, we show that, in the eikonal limit, the real part of QNMs is related to the Keplerian frequency for equatorial orbits. To this end, we explore the typical shadow radius for the viewing angles, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>θ</mi><mn>0</mn></msub><mo>=</mo><mi>π</mi><mo>/</mo><mn>2</mn></mrow></semantics></math></inline-formula>, and obtained an interesting relation in the case of viewing angle <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>θ</mi><mn>0</mn></msub><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula> (or equivalently <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>θ</mi><mn>0</mn></msub><mo>=</mo><mi>π</mi></mrow></semantics></math></inline-formula>). Furthermore we have computed the corresponding equatorial and polar modes and the thermodynamical stability of the quantum deformed Kerr black hole. We also investigate other astrophysical applications such as the quasiperiodic oscillations and the motion of S2 star to constrain the quantum deforming parameter.https://www.mdpi.com/2218-1997/8/4/210quasinormal modesquantum deformed metricblack hole shadowquasi-periodic oscillations |
| spellingShingle | Kimet Jusufi Mustapha Azreg-Aïnou Mubasher Jamil Qiang Wu Equatorial and Polar Quasinormal Modes and Quasiperiodic Oscillations of Quantum Deformed Kerr Black Hole Universe quasinormal modes quantum deformed metric black hole shadow quasi-periodic oscillations |
| title | Equatorial and Polar Quasinormal Modes and Quasiperiodic Oscillations of Quantum Deformed Kerr Black Hole |
| title_full | Equatorial and Polar Quasinormal Modes and Quasiperiodic Oscillations of Quantum Deformed Kerr Black Hole |
| title_fullStr | Equatorial and Polar Quasinormal Modes and Quasiperiodic Oscillations of Quantum Deformed Kerr Black Hole |
| title_full_unstemmed | Equatorial and Polar Quasinormal Modes and Quasiperiodic Oscillations of Quantum Deformed Kerr Black Hole |
| title_short | Equatorial and Polar Quasinormal Modes and Quasiperiodic Oscillations of Quantum Deformed Kerr Black Hole |
| title_sort | equatorial and polar quasinormal modes and quasiperiodic oscillations of quantum deformed kerr black hole |
| topic | quasinormal modes quantum deformed metric black hole shadow quasi-periodic oscillations |
| url | https://www.mdpi.com/2218-1997/8/4/210 |
| work_keys_str_mv | AT kimetjusufi equatorialandpolarquasinormalmodesandquasiperiodicoscillationsofquantumdeformedkerrblackhole AT mustaphaazregainou equatorialandpolarquasinormalmodesandquasiperiodicoscillationsofquantumdeformedkerrblackhole AT mubasherjamil equatorialandpolarquasinormalmodesandquasiperiodicoscillationsofquantumdeformedkerrblackhole AT qiangwu equatorialandpolarquasinormalmodesandquasiperiodicoscillationsofquantumdeformedkerrblackhole |