MGAT4 - Exact Solutions (Physical Aspects) |
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Speaker |
Kadlecova, Hedvika |
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Co-autors |
Andrei Zelnikov, Pavel Krtous, Jiri Podolsky |
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Talk Title |
Gyratons on direct product spacetimes |
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Abstract |
We present and analyze exact solutions of algebraic type II on backgrounds which are a direct product of 2 spaces of constant curvature. This family of (electro)vacuum background spacetimes contains the Nariai, anti-Nariai and Plebanski-Hacyan universes of type D, or conformally flat Berttoti-Robinson and Minkowski spaces. The gyraton solutions are given in a simple Kundt metric form. They belong to the recently discussed class of spacetimes constant scalar invariants (CSI) of the curvature tensor. We show that the Einstein equations reduce to a set of linear equations on the transverse 2-space which can be explicitly solved using the Green functions. |
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