Some properties of topological geons |
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Authors: | Krystyna Bugajska |
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Institution: | (1) Institut für Theoretische Physik, Technische Universität Clausthal, D-3392 Clausthal-Zellerfeld, Germany |
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Abstract: | We investigate the Finkelstein-Misner geons for a non-simply-connected space-time manifold (M, g
0). We use relations between different Lorentzian structures unequivalent tog
0 and topological properties ofM given by the Morse theory. It implies that to some pieces of geons we have to associate Wheeler's worm-holes. Geons that correspond to time-orientable Lorentz structures are related tog
0 by Morse functions that describe the attaching of a handle of index one. In the case of geons associated to time-nonorientable Lorentzian structures, appropriate handles are related to loops along which the notion of time reverses. If we assume electromagnetic properties of geons, then only four species, v , e , p , m , of different geons can exist and geon m has to decay according to m![rdquo](/content/p0m417280518r415/xxlarge8221.gif) ![rarr](/content/p0m417280518r415/xxlarge8594.gif) v + p + e . |
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