Abstract
An ansatz is given which reduces the equations of sourceless (n+p)-dimensional general relativity to those ofn-dimensional general relativity coupled to a repulsiveO(p) scalar field. Regular solutions are obtained for (n=2,p=3,n=3,p=2), and (n=3, p=4). All these solutions have the wormhole topology.
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Clément, G. A class of wormhole solutions to higher-dimensional general relativity. Gen Relat Gravit 16, 131–138 (1984). https://doi.org/10.1007/BF00762442
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DOI: https://doi.org/10.1007/BF00762442