Ultrastatic spacetimes

Details Ultrastatic spacetimes Ultrastatic spacetimes

2010-04-10

arxiv.org/abs/1004.1714v2

J.Math.Phys.51:092502,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages

Scientific paper

10.1063/1.3485599

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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