Sil, A.; Chatterjee, S. Singularity structure of a self-similar Tolman type model in a higher- dimensional spacetime. (English) Zbl 0812.53079 Gen. Relativ. Gravitation 26, No. 10, 999-1009 (1994). Exact solutions for a spherically symmetric \((n + 2)\)-dimensional inhomogeneous distribution of matter are obtained. It reduces to the familiar Tolman-Bondi metric when spacetime dimensions are four. The solution presents yet one more counterexample to the cosmic censorship hypothesis. Reviewer: J.V.Feitzinger (Bochum) Cited in 7 Documents MSC: 53Z05 Applications of differential geometry to physics 83C75 Space-time singularities, cosmic censorship, etc. Keywords:cosmic censorship; Kaluza-Klein metric PDFBibTeX XMLCite \textit{A. Sil} and \textit{S. Chatterjee}, Gen. Relativ. Gravitation 26, No. 10, 999--1009 (1994; Zbl 0812.53079) Full Text: DOI References: [1] Witten, E. (1984).Phys. Lett. B144, 351. [2] Sahdev, D. (1984).Phys. Lett. B137, 155. [3] Chatterjee, S., Banerjee, A., and Bhui, B. (1990).Phys. Lett. A149, 91; Chatterjee, S., Banerjee, A. (1993).Class. Quant. Grav. 10, L1. [4] Eardley, D. M., and Smarr, L. (1979).Phys. Rev. D 19, 2239. [5] Christodoulou, D. (1984).Commun. Math. Phys. 93, 171. · doi:10.1007/BF01223743 [6] Newman, R. C. P. A. (1986).Class. Quant. Grav. 3, 527. · Zbl 0587.53063 · doi:10.1088/0264-9381/3/4/007 [7] Waugh, B., and Lake, K. (1989).Phys. Rev. D 40, 2137. [8] Dwivedi, I. H., and Joshi, P. S. (1992).Class. Quant. Grav. 9, L69. · Zbl 0774.53044 · doi:10.1088/0264-9381/9/7/001 [9] Lake, K., and Zannias, T. (1990).Phys. Rev. D 41, 3866. [10] Tipler, F. J., Clarke, C. J. S., and Ellis, G. F. R. (1980). InGeneral Relativity and Gravitation, A. Held, ed. (Plenum Press, New York), vol. 2. [11] Wetterich, C. (1985).Nucl. Phys. B255, 480. · doi:10.1016/0550-3213(85)90148-8 [12] Chatterjee, S., and Bhui, B. (1990).Mon. Not. R. Astr. Soc. 247, 57. [13] Schwarz, J. (1983).Nucl. Phys. B226, 269. · doi:10.1016/0550-3213(83)90192-X [14] Banerjee, A., Sil, A., and Chatterjee, S. (1994).Astrophys. J. 422, 681. · doi:10.1086/173761 [15] Lemos, J. P. S. (1992).Phys. Rev. Lett. 68, 1447. · Zbl 0969.83519 · doi:10.1103/PhysRevLett.68.1447 [16] Lake, K. (1992).Phys. Rev. Lett. 68, 3129, and references therein. · Zbl 0969.83522 · doi:10.1103/PhysRevLett.68.3129 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.