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On the geometry of the Hawking Turok instanton

We discuss the coordinate complexification necessary to obtain a spatially homogeneous open universe in the singular instantonic solution recently suggested by Hawking and Turok (hep-th/9802030), concluding that only the time coordinate $σ$ of the spatially inhomogeneous De Sitter-like Lorentzian solution and its scale factor should be rotated in order to continue into a Lorentzian open universe.

preprint1998arXivOpen access

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