JHEP, 06, 081 (2022)
Notes on self-dual gravity
Pujian Mao and Weicheng Zhao
Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, 135 Yaguan Road, Tianjin 300350, China.
* pjmao@tju.edu.cn, zhaoweichengok@tju.edu.cn
Abstract
In this paper, we study self-dual gravity in the Newman-Penrose formalism. We specify the self-dual solution space from the Newman-Unti solutions. We show that the asymptotic symmetries of the self-dual gravity are still the (extended) BMS symmetries. We transform the self-dual Taub-NUT solution into the Newman-Unti gauge in analytical form.