Schwarzschild-like black hole solutions corresponding to periodic universes are presented and analyzed. In the case of one compact dimension an analytic solution is given. An interesting structure of horizons-within-horizons is discovered when the size of the periodic coordinate is smaller than the Schwarzschild radius. A variational method is also introduced and applied to the case of all spatial coordinates being compact.
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Bogojević et al. (1991) studied this question.
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