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Generation of Source Terms in General Relativity by differential structures

T. Asselmeyer
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Abstract

In this paper the relation between the choice of a differential structure and a smooth connection in the tangential bundle is discussed. For the case of an exotic $S^7$ one obtains corrections to the curvature after the change of the differential structure, which can not be neglected by a gauge transformation. In the more interesting case of four dimensions we obtain a correction of the connection constructed by intersections of embedded surfaces. This correction produce a source term in the equation of the general relativity theory which can be interpreted as the energy-momentum tensor of a embedded surface.

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T. Asselmeyer. 1996-10-09. Generation of Source Terms in General Relativity by differential structures. https://doi.org/10.1088/0264-9381%2F14%2F3%2F016

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