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Localized brane-world black hole analytically connected to an AdS₅ boundary
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We construct from first principles the geometry of an analytic, exponentially localized five-dimensional brane-world black hole. The black-hole singularity lies entirely on the 3-brane, while the event horizon is shown to have a pancake shape. The induced line-element on the brane assumes the form of the Schwarzschild solution while the bulk geometry is effectively AdS$_5$ outside the horizon. The derived geometry is supported by an anisotropic fluid in the bulk described only by two independent components, the energy density and tangential pressure, whereas no matter needs to be introduced on the brane for its consistent embedding in the bulk.
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Cited by 2 Pith papers
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Localized five-dimensional rotating brane-world black hole Analytically Connected to an to an AdS$_5$ boundary
Analytic construction of a 5D rotating braneworld black hole using Janis-Newman algorithm in Hopf coordinates that induces Kerr on the brane and connects to AdS5 boundary through bulk anisotropic fluid.
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Astrophysical environment around a black hole in the braneworld and its optical signatures
Braneworld quadratic and nonlocal corrections weaken gravity in anisotropic Einstein-cluster environments around black holes, blocking horizon formation and shifting Einstein-ring and shadow radii in ways that may con...
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