http://arxiv.org/abs/1904.01249
We find exact nonlinear solutions of general relativity (GR) that represent twisted gravitational waves (TGWs) in the presence of a cosmological constant. A TGW is a nonplanar wave propagating along a fixed spatial direction with a null Killing wave vector that has a nonzero twist tensor. The solutions all turn out to have wave fronts with negative Gaussian curvature. Among the classes of solutions presented in this paper, we find a unique class of simple conformally flat TGWs that is due to the presence of a negative cosmological constant. The properties of this special solution are studied in detail.
H. Firouzjahi and B. Mashhoon
Wed, 3 Apr 19
26/68
Comments: 30 pages, 1 figure
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