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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.11408 |
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| _version_ | 1866915452346695680 |
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| author | Estrada, Milko Santos, L. C. N. Cunha, M. S. |
| author_facet | Estrada, Milko Santos, L. C. N. Cunha, M. S. |
| contents | We present a new five-dimensional rotating quintessence black hole solution. To obtain this, we employ the $5D$ version of the Janis Newman algorithm, which incorporates the Hopf bifurcation. The variation of the quintessence parameter $w_q$ causes the geometry to transition from a regular rotating universe surrounded by a cosmological horizon to a singular rotating geometry, which can represent a naked singularity, a singular extremal black hole, or a singular black hole with both an inner and an outer (event) horizon. We have also determined the properties of the ergosphere. For the study of the shadow, we followed a novel approach in which the $2D$ shadow observed by humans corresponds to cross sections of the $3D$ shadow. We analyzed how quintessence affects both the size and shape of the black hole shadow, showing that increasing the quintessence strength reduces the shadow radius, contrary to the known results in $4D$. We also propose a speculative methodology to test the shadow behavior in five dimensional scenarios, in light of the constraints provided by the Event Horizon Telescope (EHT) concerning the shadow of the four-dimensional supermassive black hole M87. We identify scenarios in which the theoretical $5D$ results could be consistent with these observational constraints. We have also tested the circularity deviation of our shadows, finding that the results satisfy the bound $ΔC \leq 0.1$ both in the case with quintessence and in the limiting case without quintessence. Finally, we determine the energy conditions required to support the solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_11408 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Five dimensional rotating and Quintessence black hole and their hypershadows Estrada, Milko Santos, L. C. N. Cunha, M. S. General Relativity and Quantum Cosmology We present a new five-dimensional rotating quintessence black hole solution. To obtain this, we employ the $5D$ version of the Janis Newman algorithm, which incorporates the Hopf bifurcation. The variation of the quintessence parameter $w_q$ causes the geometry to transition from a regular rotating universe surrounded by a cosmological horizon to a singular rotating geometry, which can represent a naked singularity, a singular extremal black hole, or a singular black hole with both an inner and an outer (event) horizon. We have also determined the properties of the ergosphere. For the study of the shadow, we followed a novel approach in which the $2D$ shadow observed by humans corresponds to cross sections of the $3D$ shadow. We analyzed how quintessence affects both the size and shape of the black hole shadow, showing that increasing the quintessence strength reduces the shadow radius, contrary to the known results in $4D$. We also propose a speculative methodology to test the shadow behavior in five dimensional scenarios, in light of the constraints provided by the Event Horizon Telescope (EHT) concerning the shadow of the four-dimensional supermassive black hole M87. We identify scenarios in which the theoretical $5D$ results could be consistent with these observational constraints. We have also tested the circularity deviation of our shadows, finding that the results satisfy the bound $ΔC \leq 0.1$ both in the case with quintessence and in the limiting case without quintessence. Finally, we determine the energy conditions required to support the solution. |
| title | Five dimensional rotating and Quintessence black hole and their hypershadows |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2504.11408 |