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arXiv · 1904.01249

Twisted Gravitational Waves in the Presence of a Cosmological Constant

Hassan Firouzjahi·Bahram Mashhoon
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Abstract

We find exact nonlinear solutions of general relativity 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 and therefore represents part of anti-de Sitter spacetime. The properties of this special solution are studied in detail.

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Hassan Firouzjahi, Bahram Mashhoon. 2019-04-02. Twisted Gravitational Waves in the Presence of a Cosmological Constant. https://doi.org/10.1103/physrevd.100.084027

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