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Generation of Source Terms in General Relativity by differential structures | | T. Asselmeyer
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9 Oct 1996 | | Journal: | Class.Quant.Grav. 14 (1997) 749-758 | | Subject: | General Relativity and Quantum Cosmology; Differential Geometry | gr-qc dg-ga hep-th math.DG | | 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. | | Source: | arXiv, gr-qc/9610009 | | Other source: | [GID 255569] gr-qc/9610009 | | Services: | Forum | Review | PDF | Favorites | |
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