Several calculations in conformally static space-times rely on the introduction of an ultrastatic background. I describe the general properties of ultrastatic space-times, and then focus on the problem of whether a given space-time can be ultrastatic, or conformally ultrastatic, in more than one way. I show that the first possibility arises if and only if the space-time contains regions that are products with a Minkowskian factor, and that the second arises if and only it contains regions whose spatial sections are conformal to a product space.
Ultrastatic space-times
SONEGO, Sebastiano
2010-01-01
Abstract
Several calculations in conformally static space-times rely on the introduction of an ultrastatic background. I describe the general properties of ultrastatic space-times, and then focus on the problem of whether a given space-time can be ultrastatic, or conformally ultrastatic, in more than one way. I show that the first possibility arises if and only if the space-time contains regions that are products with a Minkowskian factor, and that the second arises if and only it contains regions whose spatial sections are conformal to a product space.File in questo prodotto:
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