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arXiv · 1004.1714

Ultrastatic spacetimes

Sebastiano Sonego
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Abstract

Several calculations in conformally static spacetimes rely on the introduction of an ultrastatic background. I describe the general properties of ultrastatic spacetimes, and then focus on the problem of whether a given spacetime can be ultrastatic, or conformally ultrastatic, in more than one way. I show that the first possibility arises iff the spacetime is a product containing a Minkowskian factor, and that the second arises iff the spatial sections are conformal to a product space.

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Sebastiano Sonego. 2010-10-06. Ultrastatic spacetimes. https://doi.org/10.1063/1.3485599

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