Directional singularities in Weyl gravitational fields |
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| Affiliation: | 1. Institute of Manufacturing Information and Systems, National Cheng Kung University, Tainan City 701, Taiwan;2. Research Center for Energy Technology and Strategy, National Cheng Kung University, Tainan City 701, Taiwan;3. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, 29 Jiangjun Avenue, Nanjing 211106, China |
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| Abstract: | The Kretschmann scalar RμνϱσRμνϱσ is evaluated for an arbitrary, axially symmetric Weyl gravitational field. From the analysis of this scalar it is found that certain Weyl solutions exhibit directional type singularities, i.e., the singular behaviour of the scalar depends upon the direction by which the singular point is approached. |
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