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A theorem on the conformal structure of interior space-times

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Abstract

It is well known that the interior and exterior Schwarzschild solutions are of different conformal type. More examples of this phenomenon are easily found in the literature. A precise statement of this phenomenon is given together with a theorem stating that this will take place if the matter tensor of the interior solution satisfies some weak energy conditions and if some reasonable conditions are fulfilled.

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Authors and Affiliations

  1. Departement Wiskunde, Katholieke Universiteit Leuven, Celestijnenlaan 200B, B-3030, Heverlee, Belgium

    P. F. J. Dhooghe

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  1. P. F. J. Dhooghe
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Dhooghe, P.F.J. A theorem on the conformal structure of interior space-times. Gen Relat Gravit 12, 895–901 (1980). https://doi.org/10.1007/BF00757358

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  • DOI: https://doi.org/10.1007/BF00757358

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