Back to Search
Start Over
A Penrose-type inequality for static spacetimes
- Publication Year :
- 2024
-
Abstract
- We establish a lower bound on the ADM mass of the time slices of $(n + 1)$-dimensional asymptotically flat standard static spacetimes under the timelike convergence condition. This extends the Minkowski inequality for static vacuum spacetimes, which relates the total mass of a time slice to the area and total mean curvature of its boundary. As a corollary, we obtain the Riemannian Penrose inequality in all dimensions and with rigidity for static manifolds under the TCC.<br />Comment: 15 pages, no figures, comments welcome!
- Subjects :
- General Relativity and Quantum Cosmology
Mathematics - Differential Geometry
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2410.12203
- Document Type :
- Working Paper