Localized five-dimensional rotating brane-world black hole Analytically Connected to an to an AdS$_5$ boundary
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| author | Estrada, Milko Tello-Ortiz, Francisco |
| author_facet | Estrada, Milko Tello-Ortiz, Francisco |
| contents | We provide a method to describe the geometry of an analytic, exponentially localized $5D$ rotating braneworld black hole, using the $5D$ Janis Newman algorithm in Hopf coordinates. The induced metric on the brane matches the standard $4D$ Kerr spacetime. Two curvature singularities arise: one confined to the $3$-brane at $z = r = 0$, and another that, on the brane, reproduces the Kerr singularity at $r = 0$, $\barθ = π/2$. The inner and event horizons, together with the stationary limit hypersurfaces, extend into the extra dimension in a pancake-like shape. We describe their behavior in the bulk.
The energy momentum tensor represents a source transitioning from an anisotropic, non diagonal structure to a vacuum with negative cosmological constant. Thus, the localized black hole connects to an AdS$_5$ boundary. The geometry is supported by a non-diagonal anisotropic fluid in the bulk, requiring no matter on the brane. To evaluate the energy conditions, we use a one form from the dual basis that yields a diagonal energy momentum tensor. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_18435 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Localized five-dimensional rotating brane-world black hole Analytically Connected to an to an AdS$_5$ boundary Estrada, Milko Tello-Ortiz, Francisco General Relativity and Quantum Cosmology High Energy Physics - Theory We provide a method to describe the geometry of an analytic, exponentially localized $5D$ rotating braneworld black hole, using the $5D$ Janis Newman algorithm in Hopf coordinates. The induced metric on the brane matches the standard $4D$ Kerr spacetime. Two curvature singularities arise: one confined to the $3$-brane at $z = r = 0$, and another that, on the brane, reproduces the Kerr singularity at $r = 0$, $\barθ = π/2$. The inner and event horizons, together with the stationary limit hypersurfaces, extend into the extra dimension in a pancake-like shape. We describe their behavior in the bulk. The energy momentum tensor represents a source transitioning from an anisotropic, non diagonal structure to a vacuum with negative cosmological constant. Thus, the localized black hole connects to an AdS$_5$ boundary. The geometry is supported by a non-diagonal anisotropic fluid in the bulk, requiring no matter on the brane. To evaluate the energy conditions, we use a one form from the dual basis that yields a diagonal energy momentum tensor. |
| title | Localized five-dimensional rotating brane-world black hole Analytically Connected to an to an AdS$_5$ boundary |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.18435 |