Bronnikov, K. A.; Michtchenko, A. V. Black holes and wormholes in RS2 type brane worlds. (English) Zbl 1079.83026 Int. J. Mod. Phys. A 20, No. 11, 2256-2264 (2005). 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 Keywords:Multidimensional gravity; brane world; black holes; wormholes; scalar fields PDFBibTeX XMLCite \textit{K. A. Bronnikov} and \textit{A. V. Michtchenko}, Int. J. Mod. Phys. A 20, No. 11, 2256--2264 (2005; Zbl 1079.83026) Full Text: DOI References: [1] Chamblin A., Phys. Rev. 61 pp 065007– [2] Dadhich N., Phys. Lett. 487 pp 1– · Zbl 0961.83060 · doi:10.1016/S0370-2693(00)00798-X [3] Chamblin A., Phys. Rev. 63 pp 064015– [4] Casadio R., Phys. Rev. 65 pp 084040– [5] Germani C., Phys. Rev. 64 pp 124010– [6] Bronnikov K. A., Phys. Rev. 68 pp 024025– [7] Hochberg D., Phys. Rev. 58 pp 044021– [8] Bronnikov K. A., Phys. Rev. 67 pp 064027– [9] Bronnikov K. A., Int. J. Mod. Phys. 13 pp 593– · Zbl 1091.83037 · doi:10.1142/S0218271804003561 [10] Bronnikov K. A., Grav. & Cosmol. 9 pp 176– [11] Bronnikov K. A., Gen. Rel. Grav. 36 pp 1526– [12] DOI: 10.1103/PhysRevLett.83.4690 · Zbl 0946.81074 · doi:10.1103/PhysRevLett.83.4690 [13] Shiromizu T., Phys. Rev. 62 pp 024012– [14] Bronnikov K. A., Phys. Rev. 64 pp 064013– [15] DOI: 10.1023/A:1022952314050 · Zbl 1031.83019 · doi:10.1023/A:1022952314050 [16] DOI: 10.1038/nature01432 · doi:10.1038/nature01432 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.