Ultrastatic spacetimes
arXiv:1004.1714 · doi:10.1063/1.3485599
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.
13 pages
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- Hořava's quantum gravity illustrated by embedding diagrams of the Kehagias-Sfetsos spacetimes
- Optical Metrics and Projective Equivalence
- Curving Flat Space-Time by Deformation Quantization?