Purely gravito-magnetic vacuum space-times
N. Van den Bergh
TL;DR
This paper proves that vacuum space-times cannot have a purely gravito-magnetic Weyl tensor when observed from a normal, timelike congruence, regardless of the cosmological constant.
Contribution
It establishes a no-go theorem for purely gravito-magnetic vacuum space-times in general relativity.
Findings
No vacuum solutions with purely gravito-magnetic Weyl tensor exist.
The result holds with or without a cosmological constant.
It constrains possible spacetime geometries in general relativity.
Abstract
It is shown that there are no vacuum space-times (with or without cosmological constant) for which the Weyl-tensor is purely gravito-magnetic with respect to a normal and timelike congruence of observers.
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