Notes on self-dual gravity

Abstract

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.

Keywords

• Classical Theories of Gravity
• Gauge Symmetry
• Space-Time Symmetries
• Black Holes