A local analytic characterization of Schwarzschild metrics |
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| Authors: | Manuel Fern ndez-L pez, Eduardo Garcí a-Rí o,Demir N. Kupeli |
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| Affiliation: | a Department of Geometry and Topology, Faculty of Mathematics, University of Santiago de Compostela, E-15782, Santiago de Compostela, Spain;b Department of Mathematics, Atılım University, !["Image"]("http://www.sciencedirect.com/cache/MiamiImageURL/B6TJ8-44CH57J-1-1/0?wchp=dGLzVzz-zSkWb" "\"Image\"") ncek, 06836, Ankara, Turkey |
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| Abstract: | A local characterization of Schwarzschild metrics is made by showing the space-time is locally a 2 by 2 warped product and admitting a static reference frame on its certain open subsets under some assumptions on the global analytic structure and stress-energy tensor of the space-time, such as, assuming the existence of solutions to certain partial differential equations and the existence of a radiation stress-energy tensor consistent with these solutions on the space-time. |
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| Keywords: | Local Möbius equation Warped product decomposition Tension field of a vector field Static reference frame |
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