Generation of Source Terms in General Relativity by differential structures

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.

14 pages, LaTeX, submitted to Class. Quant. Grav

References in corpus (4)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Exotic Smoothness and Physics
• Localized Exotic Smoothness
• Exotic Differentiable Structures and General Relativity

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