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A Characterization of Cosmological Time Functions |
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| Authors: | Manuel Fernández-López Eduardo García-Río Demir N Kupeli |
| Institution: | (1) Department of Geometry and Topology, Faculty of Mathematics, University of Santiago de Compostela, 15706 Santiago de Compostela, Spain |
| Abstract: | A characterization of time functions on a spacetime is made by using theMöbius equation. It is shown that a time function characterized in this wayyields past timelike geodesic incompleteness and local Lorentzian warpedproduct decomposition of spacetime, provided that the stress-energy tensoris a fluid. Also, by imposing additional assumptions on the stress-energytensor and global analytic structure of the spacetime, more restrictivedecompositions closer to Robertson–Walker spacetimes are obtained. |
| Keywords: | Lorentzian warped product decomposition reference frames stable causality stress-energy tensor time functions timelike geodesic incompleteness |
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