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Strongly gravitating empty spaces

Jan Sladkowski
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Abstract

We use various results concerning isometry groups of Riemannian and pseudo-Riemannian manifolds to prove that there are spaces on which differential structure can act as a source of gravitational force (Brans conjecture). The result is important for the analysis of the possible physical meaning of differential calculus. Possible astrophysical consequences are discussed.

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Jan Sladkowski. 1999-06-11. Strongly gravitating empty spaces. https://arxiv.org/abs/gr-qc/9906037

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