Black string immersed in perfect fluid dark matter
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866913162366812160 |
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| author | Barbosa, L. G. Santos, L. C. N. |
| author_facet | Barbosa, L. G. Santos, L. C. N. |
| contents | We present an exact four-dimensional black string solution immersed in perfect fluid dark matter within an anti-de Sitter background. By solving the Einstein field equations for an anisotropic fluid, we obtain a metric function that modifies the standard black string geometry through a logarithmic term governed by the dark matter parameter $α$. The event horizon radii are analytically determined using the Lambert $W$ function, and the Kretschmann scalar confirms a genuine curvature singularity at the origin alongside the expected asymptotic behavior. Furthermore, we evaluate the thermodynamic properties of the solution. The heat capacity diverges at a critical horizon radius for $α>0$, a behavior commonly associated with a thermodynamic phase transition in a regime where the weak energy condition is violated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_26198 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Black string immersed in perfect fluid dark matter Barbosa, L. G. Santos, L. C. N. General Relativity and Quantum Cosmology We present an exact four-dimensional black string solution immersed in perfect fluid dark matter within an anti-de Sitter background. By solving the Einstein field equations for an anisotropic fluid, we obtain a metric function that modifies the standard black string geometry through a logarithmic term governed by the dark matter parameter $α$. The event horizon radii are analytically determined using the Lambert $W$ function, and the Kretschmann scalar confirms a genuine curvature singularity at the origin alongside the expected asymptotic behavior. Furthermore, we evaluate the thermodynamic properties of the solution. The heat capacity diverges at a critical horizon radius for $α>0$, a behavior commonly associated with a thermodynamic phase transition in a regime where the weak energy condition is violated. |
| title | Black string immersed in perfect fluid dark matter |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2605.26198 |