Spinorial quasilocal mass for spacetimes with negative cosmological constant
Abstract
A new notion of quasilocal mass is defined for generic, compact, two dimensional, spacelike surfaces in four dimensional spacetimes with negative cosmological constant. The definition is spinorial and based on work for vanishing cosmological constant by Penrose and Dougan & Mason. Furthermore, this mass is non-negative, equal to the Misner-Sharp mass in spherical symmetry, equal to zero for every generic surface in AdS, has an appropriate form for gravity linearised about AdS and has an appropriate limit for large spheres in asymptotically AdS spacetimes.
Fields of Study & Subjects
Black Holes and Theoretical Physics
Cosmology and Gravitation Theories
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Advances in Theoretical and Mathematical Physics
- Volume
- 30
- Issue
- 6
- Pages
- 1767–1819
- Publication date
- 1 January 2026
- Language
- EN