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Differential Structure of Space-Time and Physical Fields

Jacek Gruszczak
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Abstract

A physical interpretation of axioms of the differential structure of space-time is presented. Consequences of such interpretation for cosmic string's space-time with a scalar field are studied. It is shown that the assumption of smoothness of the scalar field leads either to modification of cosmic string's space-time global properties or to quantization of the deficit of angle: $Δ=2π(1-1/n)$, $n=1,2,\dots$.

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Jacek Gruszczak. 1995-08-08. Differential Structure of Space-Time and Physical Fields. https://arxiv.org/abs/gr-qc/9508021

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