Frolov Black Hole Surrounded by Quintessence -- I: Thermodynamics, Geodesics and Shadows
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866911184303685632 |
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| author | Gohain, Mrinnoy M. Bhuyan, Kalyan Borgohain, Rajnandini Gogoi, Tonmoyee Bhuyan, Kakoli Phukon, Prabwal |
| author_facet | Gohain, Mrinnoy M. Bhuyan, Kalyan Borgohain, Rajnandini Gogoi, Tonmoyee Bhuyan, Kakoli Phukon, Prabwal |
| contents | The Frolov black hole (BH) is a charged extension of the Hayward BH, having regularity at the central point $r = 0$ and an asymptotically Schwarzschild form for large values of $r$. Such a BH is parameterized by a length scale parameter, \( α_0 \). In this paper, we analyze the thermodynamic properties, null and timelike geodesics, and shadows of a Frolov BH immersed in a quintessence field. Our results indicate that the smaller BH is locally thermodynamically stable yet globally unstable at all horizon radii. Neither the quintessence parameter nor the other model parameters like the charge $q$ and length scale parameter $α_0$ change this global instability. We extend the study of the null and timelike geodesics to the vicinity of the BH by analyzing how the geodesic motion depends on the model parameters. Finally, we analyze the shadow of the BH system and find that the shadow radii are sensitively dependent on model parameters. In contrast, the influence of the quintessence parameter itself on the size of the shadow is found to be rather weak. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_06252 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Frolov Black Hole Surrounded by Quintessence -- I: Thermodynamics, Geodesics and Shadows Gohain, Mrinnoy M. Bhuyan, Kalyan Borgohain, Rajnandini Gogoi, Tonmoyee Bhuyan, Kakoli Phukon, Prabwal General Relativity and Quantum Cosmology The Frolov black hole (BH) is a charged extension of the Hayward BH, having regularity at the central point $r = 0$ and an asymptotically Schwarzschild form for large values of $r$. Such a BH is parameterized by a length scale parameter, \( α_0 \). In this paper, we analyze the thermodynamic properties, null and timelike geodesics, and shadows of a Frolov BH immersed in a quintessence field. Our results indicate that the smaller BH is locally thermodynamically stable yet globally unstable at all horizon radii. Neither the quintessence parameter nor the other model parameters like the charge $q$ and length scale parameter $α_0$ change this global instability. We extend the study of the null and timelike geodesics to the vicinity of the BH by analyzing how the geodesic motion depends on the model parameters. Finally, we analyze the shadow of the BH system and find that the shadow radii are sensitively dependent on model parameters. In contrast, the influence of the quintessence parameter itself on the size of the shadow is found to be rather weak. |
| title | Frolov Black Hole Surrounded by Quintessence -- I: Thermodynamics, Geodesics and Shadows |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2412.06252 |