Nonradiative algebraically special space-times

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Abstract
A recently characterized class of (in general nonvacuum) algebraically special space‐times with twisting rays is studied. The Weyl tensor satisfies the peeling‐off property along the repeated principal null congruence, and the Ricci tensor exhibits an equally simple asymptotic behavior, which is in fact compatible (via the Einstein field equations) with the presence of a suitably restricted electromagnetic or neutrino field. If the gravitational and source fields are nonradiative, the above asymptotic behavior is restricted. In this case we explicitly solve the Einstein vacuum field equations, the Einstein‐Maxwell equations and the Einstein‐Weyl (combined gravitational‐neutrino) equations. The solutions obtained are related to the known algebraically special solutions of these equations.

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