A comment on Liu and Yau's positive quasi-local mass
arXiv:gr-qc/0311006 · doi:10.1103/PhysRevLett.92.259001
Abstract
With the aid of a simple family of examples, we show that the quasi-local mass defined by Kijowski and Liu and Yau, and shown by Liu and Yau to be positive, may be strictly positive for space-like, topologically spherical 2-surfaces in flat space-time.
Latex, 2 pages
Cited by in corpus (24)
- Quasilocal mass in general relativity
- Isometric embeddings into the Minkowski space and new quasi-local mass
- On geometric problems related to Brown-York and Liu-Yau quasilocal mass
- Do we know the mass of a black hole? Mass of some cosmological black hole models
- On the energy of gravitational waves
- Optimal Choices of Reference for Quasi-local Energy
- Mean curvature flow and quasilocal mass for two-surfaces in Hamiltonian General Relativity
- Geometric Inequalities for Quasi-Local Masses
- Wang and Yau's Quasi-Local Energy for an Extreme Kerr Spacetime
- Rigid spheres in Riemannian spaces
- The Kijowski--Liu--Yau quasi-local mass of the Kerr black hole horizon
- Recent results in mathematical relativity
- Quasilocal energy and thermodynamic equilibrium conditions
- Four lectures on quasi-local mass
- Quasi-local energy-momentum and energy flux at null infinity
- Aspects of Quasi-local energy for gravity coupled to gauge fields
- On A Quasi-local Mass
- Properties of Quasi-local mass in binary black hole mergers
- Some Remarks on Wang-Yau Quasi-Local Mass
- Quasi-local mass at axially symmetric null infinity
- A New Quasi-local Mass and Positivity
- Strong field behavior of Wang-Yau Quasi-local energy
- Positivity of quasi-local mass II
- On a spacetime positive mass theorem with corners