Existence of Standard Splittings for Conformally Stationary Spacetimes
نویسنده
چکیده
Let (M, g) be a spacetime which admits a complete timelike conformal Killing vector field K. We prove that (M, g) splits globally as a standard conformastationary spacetime with respect to K if and only if (M, g) is distinguishing (and, thus causally continuous). Causal but non-distinguishing spacetimes with complete stationary vector fields are also exhibited. For the proof, the recently solved “folk problems” on smoothability of time functions (moreover, the existence of a temporal function) are used.
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