A theorem on the conformal structure of interior space-times |
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Authors: | P. F. J. Dhooghe |
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Affiliation: | (1) Departement Wiskunde, Katholieke Universiteit Leuven, Celestijnenlaan 200B, B-3030 Heverlee, Belgium |
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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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