Exact non-singular waves in the anti-de Sitter universe
General Relativity and Quantum Cosmology
2015-06-25 v1
Abstract
A class of radiative solutions of Einstein's field equations with a negative cosmological constant and a pure radiation is investigated. The space-times, which generalize the Defrise solution, represent exact gravitational waves which interact with null matter and propagate in the anti-de Sitter universe. Interestingly, these solutions have homogeneous and non-singular wave-fronts for all freely moving observers. We also study properties of sandwich and impulsive waves which can be constructed in this class of space-times.
Keywords
Cite
@article{arxiv.gr-qc/0010084,
title = {Exact non-singular waves in the anti-de Sitter universe},
author = {J. Podolsky},
journal= {arXiv preprint arXiv:gr-qc/0010084},
year = {2015}
}
Comments
15 pages, 3 figures, To appear in Gen. Rel. Grav