Twisted Gravitational Waves in the Presence of a Cosmological Constant. (arXiv:1904.01249v1 [gr-qc])

Twisted Gravitational Waves in the Presence of a Cosmological Constant. (arXiv:1904.01249v1 [gr-qc])
<a href="http://arxiv.org/find/gr-qc/1/au:+Firouzjahi_H/0/1/0/all/0/1">Hassan Firouzjahi</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Mashhoon_B/0/1/0/all/0/1">Bahram Mashhoon</a>

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.

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