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| Format: | Preprint |
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2024
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| Online-Zugang: | https://arxiv.org/abs/2410.08955 |
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| _version_ | 1866913560615976960 |
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| author | Hesamolhokama, M. Hossein Allahyari, Alireza Khodagholizadeh, Jafar Vahedi, Ali |
| author_facet | Hesamolhokama, M. Hossein Allahyari, Alireza Khodagholizadeh, Jafar Vahedi, Ali |
| contents | We investigate quasi-periodic oscillations (QPOs) in the context of a new rotating black hole solution that incorporates a cosmological constant. Recent work by the authors in \cite{Ovalle:2022eqb} interpreted the cosmological constant, denoted as $Λ$, as a form of vacuum energy and employed a gravitational decoupling approach to derive an extended Kerr-de Sitter black hole solution, which is geometrically richer than the classical case. In this study, we derive the expressions for timelike circular geodesics within this solution and, using a relativistic precision model, calculate the corresponding frequencies of the QPOs. To constrain our model, we apply Bayesian formalism, utilizing data from three well-known microquasars: GRO 1655-40, XTE 1550-564, and GRS 1915+105. Our analysis reveals that$Λ$ is degenerate and correlated with other parameters. Finally, we perform a Bayesian model comparison with the Kerr metric and find that the Kerr metric is favored among the models considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_08955 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Probing the warped vacuum geometry around a Kerr black hole by quasi-periodic oscillations Hesamolhokama, M. Hossein Allahyari, Alireza Khodagholizadeh, Jafar Vahedi, Ali General Relativity and Quantum Cosmology We investigate quasi-periodic oscillations (QPOs) in the context of a new rotating black hole solution that incorporates a cosmological constant. Recent work by the authors in \cite{Ovalle:2022eqb} interpreted the cosmological constant, denoted as $Λ$, as a form of vacuum energy and employed a gravitational decoupling approach to derive an extended Kerr-de Sitter black hole solution, which is geometrically richer than the classical case. In this study, we derive the expressions for timelike circular geodesics within this solution and, using a relativistic precision model, calculate the corresponding frequencies of the QPOs. To constrain our model, we apply Bayesian formalism, utilizing data from three well-known microquasars: GRO 1655-40, XTE 1550-564, and GRS 1915+105. Our analysis reveals that$Λ$ is degenerate and correlated with other parameters. Finally, we perform a Bayesian model comparison with the Kerr metric and find that the Kerr metric is favored among the models considered. |
| title | Probing the warped vacuum geometry around a Kerr black hole by quasi-periodic oscillations |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2410.08955 |