Quasi-local mass via isometric embeddings: a review from a geometric perspective
DOI10.1088/0264-9381/32/23/233001zbMath1329.83003OpenAlexW2235673847MaRDI QIDQ3466365
Publication date: 1 February 2016
Published in: Classical and Quantum Gravity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0264-9381/32/23/233001
Hamilton's equations (70H05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory (83-02) Gravitational energy and conservation laws; groups of motions (83C40) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)
Related Items (2)
Cites Work
- Time flat surfaces and the monotonicity of the spacetime Hawking mass. II
- Critical points of Wang-Yau quasi-local energy
- The Brown-York mass of revolution surfaces in asymptotically Schwarzschild manifolds
- Evaluating quasilocal energy and solving optimal embedding equation at null infinity
- Isometric embeddings into the Minkowski space and new quasi-local mass
- Limit of quasilocal mass at spatial infinity
- Large-sphere and small-sphere limits of the Brown-York mass
- On the behavior of quasi-local mass at the infinity along nearly round surfaces
- Proof of the positive mass theorem. II
- On the proof of the positive mass conjecture in general relativity
- A simple derivation of canonical structure and quasi-local Hamiltonians in general relativity
- Center of mass integral in canonical general relativity
- The inverse mean curvature flow and the Riemannian Penrose inequality
- A new proof of the positive energy theorem.
- Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature.
- A property of the Brown-York mass in Schwarzschild manifolds
- On geometric problems related to Brown-York and Liu-Yau quasilocal mass
- Minimizing properties of critical points of quasi-local energy
- Time flat surfaces and the monotonicity of the spacetime Hawking mass
- Rigidity of time-flat surfaces in the Minkowski spacetime
- Conserved quantities in general relativity: from the quasi-local level to spatial infinity
- Generalized inverse mean curvature flows in spacetime
- Comment on “Positivity of Quasilocal Mass”
- Positivity of Quasilocal Mass
- QUASILOCAL MASS AND SURFACE HAMILTONIAN IN SPACETIME
- Coordinate Invariance and Energy Expressions in General Relativity
- Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
- Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
- Some estimates of Wang–Yau quasilocal energy
- ENERGY EXTRACTION*
- The gravitational Hamiltonian, action, entropy and surface terms
- Positivity of quasi-local mass II
- The Weyl and Minkowski problems in differential geometry in the large
This page was built for publication: Quasi-local mass via isometric embeddings: a review from a geometric perspective