On the nonexistence of conformally flat slices in the Kerr and other stationary spacetimes

Details On the nonexistence of conformally flat slices in the Kerr and other stationary spacetimes On the nonexistence of conformally flat slices in the Kerr and other stationary spacetimes

2003-10-08

arxiv.org/abs/gr-qc/0310048v1

Phys.Rev.Lett.92:041101,2004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1103/PhysRevLett.92.041101

It is proved that a stationary solutions to the vacuum Einstein field equations with non-vanishing angular momentum have no Cauchy slice that is maximal, conformally flat, and non-boosted. The proof is based on results coming from a certain type of asymptotic expansions near null and spatial infinity --which also show that the developments of Bowen-York type of data cannot have a development admitting a smooth null infinity--, and from the fact that stationary solutions do admit a smooth null infinity.

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