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Black holes and wormholes in RS2 type brane worlds. (English) Zbl 1079.83026

Summary: We review some recent results concerning the properties of static, spherically symmetric configurations in RS2 type brane worlds: 1) Solving the trace of the effective 4D gravity equations, we obtain general classes of black hole and wormhole metrics, including families which unify symmetric wormholes, extremal black holes and non-extremal non-singular black holes. 2) Assuming \(E_{\mu}^{\nu}\) (where \(E_{\mu}^{\nu}\) is a part of the 5D Weyl tensor contributing to the 4D gravity equations), we show that material scalar fields confined on the brane may violate the no-hair theorem, support wormholes or form particlelike objects, but only at super-nuclear matter densities in the strong field region. 3) Solutions to the bulk field equations are found in case \(E_{\mu}^{\nu} \equiv 0\), among them solutions with a nonzero 4D cosmological constant, generalizing the so-called ”black string”.

MSC:

83E15 Kaluza-Klein and other higher-dimensional theories
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
83C57 Black holes
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