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A Characterization of Cosmological Time Functions

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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.

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Authors and Affiliations

  1. Department of Geometry and Topology, Faculty of Mathematics, University of Santiago de Compostela, 15706 Santiago de Compostela, Spain

    Manuel Fernández-López, Eduardo García-Río & Demir N. Kupeli

Authors
  1. Manuel Fernández-López
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  2. Eduardo García-Río
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  3. Demir N. Kupeli
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Fernández-López, M., García-Río, E. & Kupeli, D.N. A Characterization of Cosmological Time Functions. Annals of Global Analysis and Geometry 21, 1–13 (2002). https://doi.org/10.1023/A:1014237721687

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