COMMENTS, REPLIES AND NOTES: A note on the existence of standard splittings for conformally stationary spacetimes

Details COMMENTS, REPLIES AND NOTES: A note on the existence of standard splittings for conformally stationary spacetimes COMMENTS, REPLIES AND NOTES: A note on the existence of standard splittings for conformally stationary spacetimes

Aug 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008cqgra..25p8001j&link_type=abstract

Classical and Quantum Gravity, Volume 25, Issue 16, pp. 168001 (2008).

Computer Science

2

Scientific paper

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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