@inproceedings{5291130c4efd4b53a3c6e42347de22b0,
title = "Quasi-Einstein Shearfree Spacetimes Lifted from Sasakian Manifolds",
abstract = "In this article we prove that a certain class of smooth Sasakian manifolds admits lifts to 4-dimensional quasi-Einstein shearfree spacetimes of Petrov type II or D. This is related to an analogous result by Hill, Lewandowski and Nurowski [ 12] for general real-analytic CR manifolds. In particular, our result holds for smooth tubular CR manifolds. Furthermore, we show that any Sasakian manifold with underlying K{\"a}hler-Einstein manifold with non-zero Einstein constant has a lift to a shearfree Einstein metric of Petrov type II or D.",
author = "Masoud Ganji and Gerd Schmalz and Daniel Sykes",
year = "2025",
month = mar,
day = "31",
doi = "10.1007/978-981-96-0447-0\_6",
language = "English",
isbn = "9789819604463",
volume = "481",
series = "Springer Proceedings in Mathematics \& Statistics",
number = "481",
pages = "69--86",
editor = "Toshiyuki Sugawa and Young-Jun Choi and Sung-Yeon Kim and Kang-Tae Kim and Aeryeong Seo and Jisoo Byun and Jong-Do Park and Sergeev, \{Armen G.\} and Kang-Hyurk Lee",
booktitle = "Complex Geometric Analysis In Honor of Kang-Tae Kim{\textquoteright}s 65th Birthday, Pohang, Korea, 2022",
}