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Explicit Kundt type II and N solutions as gravitational waves in various type D and O universes

Jiri Podolsky·Marcello Ortaggio
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Abstract

A particular yet large class of non-diverging solutions which admits a cosmological constant, electromagnetic field, pure radiation and/or general non-null matter component is explicitly presented. These spacetimes represent exact gravitational waves of arbitrary profiles which propagate in background universes such as Minkowski, conformally flat (anti-)de Sitter, Edgar-Ludwig, Bertotti-Robinson, and type D (anti-)Nariai or Plebanski-Hacyan spaces, and their generalizations. All possibilities are discussed and are interpreted using a unifying simple metric form. Sandwich and impulsive waves propagating in the above background spaces with different geometries and matter content can easily be constructed. New solutions are identified, e.g. type D pure radiation or explicit type II electrovacuum waves in (anti-)Nariai universe. It is also shown that, in general, there are no conformally flat Einstein-Maxwell fields with a non-vanishing cosmological constant.

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Jiri Podolsky, Marcello Ortaggio. 2003-04-11. Explicit Kundt type II and N solutions as gravitational waves in various type D and O universes. https://doi.org/10.1088/0264-9381%2F20%2F9%2F307

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