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On a general class of brane-world black holes
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abstract
We use the general solution to the trace of the 4-dimensional Einstein equations for static, spherically symmetric configurations as a basis for finding a general class of black hole (BH) metrics, containing one arbitrary function $g_{tt} = A(r)$ which vanishes at some $r = r_h > 0$, the horizon radius. Under certain reasonable restrictions, BH metrics are found with or without matter and, depending on the boundary conditions, can be asymptotically flat or have any other prescribed large $r$ behaviour. It is shown that this procedure generically leads to families of solutions unifying non-extremal globally regular BHs with a Kerr-like global structure, extremal BHs and symmetric wormholes. Horizons in space-times with zero scalar curvature are shown to be either simple or double. The same is generically true for horizons inside a matter distribution, but in special cases there can be horizons of any order. A few simple examples are discussed. A natural application of the above results is the brane world concept, in which the trace of the 4D gravity equations is the only unambiguous equation for the 4D metric, and its solutions can be continued into the 5D bulk according to the embedding theorems.
Forward citations
Cited by 4 Pith papers
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Long-lived quasinormal frequencies for regular black hole supported by the Einasto profile in the presence of the magnetic field
For Einasto-supported regular black holes, larger effective scalar mass and certain halo parameters suppress the quasinormal damping rate, producing long-lived modes and shifting grey-body factors toward higher frequencies.
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Wormholes from beyond
Using the Nakas-Kanti top-down approach, the author embeds the Morris-Thorne and Molina-Neves wormholes in a regular five-dimensional anti-de Sitter bulk, so the wormhole on the brane is supported entirely by bulk fields.
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Images of Braneworld black holes with radiatively inefficient accretion flows
GRRT simulations of CFM braneworld black holes show nonmonotonic tidal-parameter effects on image morphology with normalized mismatches of order 10^3, indicating identification remains difficult even with ngEHT and BHEX.
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